{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Levy Stable models of Stochastic Volatility\n",
    "\n",
    "This tutorial demonstrates inference using the Levy [Stable](http://docs.pyro.ai/en/stable/distributions.html#stable) distribution through a motivating example of a non-Gaussian stochastic volatilty model.\n",
    "\n",
    "Inference with stable distribution is tricky because the density `Stable.log_prob()` is very expensive. In this tutorial we demonstrate three approaches to inference: (i) using the [poutine.reparam](http://docs.pyro.ai/en/latest/poutine.html#pyro.poutine.handlers.reparam) effect to transform models in to a tractable form, (ii) using the likelihood-free loss [EnergyDistance](http://docs.pyro.ai/en/latest/inference_algos.html#pyro.infer.energy_distance.EnergyDistance) with SVI, and (iii) using `Stable.log_prob()` which has a numerically integrated log-probability calculation.\n",
    "\n",
    "\n",
    "#### Summary\n",
    "\n",
    "- [Stable.log_prob()](http://docs.pyro.ai/en/stable/distributions.html#stable) is very expensive.\n",
    "- Stable inference requires either reparameterization or a likelihood-free loss.\n",
    "- Reparameterization:\n",
    "    - The [poutine.reparam()](http://docs.pyro.ai/en/latest/poutine.html#pyro.poutine.handlers.reparam) handler can transform models using various [strategies](http://docs.pyro.ai/en/latest/infer.reparam.html).\n",
    "    - The [StableReparam](http://docs.pyro.ai/en/latest/infer.reparam.html#pyro.infer.reparam.stable.StableReparam) strategy can be used for Stable distributions in SVI or HMC.\n",
    "    - The [LatentStableReparam](http://docs.pyro.ai/en/latest/infer.reparam.html#pyro.infer.reparam.stable.LatentStableReparam) strategy is a little cheaper, but cannot be used for likelihoods.\n",
    "    - The [DiscreteCosineReparam](http://docs.pyro.ai/en/latest/infer.reparam.html#pyro.infer.reparam.discrete_cosine.DiscreteCosine) strategy improves geometry in batched latent time series models.\n",
    "- Likelihood-free loss with SVI:\n",
    "    - The [EnergyDistance](http://docs.pyro.ai/en/latest/inference_algos.html#pyro.infer.energy_distance.EnergyDistance) loss allows stable distributions in the guide and in model likelihoods.\n",
    "\n",
    "#### Table of contents\n",
    "\n",
    "- [Daily S&P data](#data)\n",
    "- [Fitting a single distribution to log returns](#fitting) using `EnergyDistance`\n",
    "- [Modeling stochastic volatility](#modeling) using:\n",
    "    - [Reparameterization](#reparam) with `poutine.reparam`\n",
    "    - [Numerically integrated log-probability](#numeric) with `Stable.log_prob()`"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Daily S&P 500 data <a class=\"anchor\" id=\"data\"></a>\n",
    "\n",
    "The following daily closing prices for the S&P 500 were loaded from [Yahoo finance](https://finance.yahoo.com/quote/%5EGSPC/history/)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import math\n",
    "import os\n",
    "import torch\n",
    "import pyro\n",
    "import pyro.distributions as dist\n",
    "from matplotlib import pyplot\n",
    "from torch.distributions import constraints\n",
    "\n",
    "from pyro import poutine\n",
    "from pyro.contrib.examples.finance import load_snp500\n",
    "from pyro.infer import EnergyDistance, Predictive, SVI, Trace_ELBO\n",
    "from pyro.infer.autoguide import AutoDiagonalNormal\n",
    "from pyro.infer.reparam import DiscreteCosineReparam, StableReparam\n",
    "from pyro.optim import ClippedAdam\n",
    "from pyro.ops.tensor_utils import convolve\n",
    "\n",
    "%matplotlib inline\n",
    "assert pyro.__version__.startswith('1.9.1')\n",
    "smoke_test = ('CI' in os.environ)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "torch.Size([23116])"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df = load_snp500()\n",
    "dates = df.Date.to_numpy()\n",
    "x = torch.tensor(df[\"Close\"]).float()\n",
    "x.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 900x300 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "pyplot.figure(figsize=(9, 3))\n",
    "pyplot.plot(x)\n",
    "pyplot.yscale('log')\n",
    "pyplot.ylabel(\"index\")\n",
    "pyplot.xlabel(\"trading day\")\n",
    "pyplot.title(\"S&P 500 from {} to {}\".format(dates[0], dates[-1]));\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Of interest are the log returns, i.e. the log ratio of price on two subsequent days."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 900x300 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "pyplot.figure(figsize=(9, 3))\n",
    "r = (x[1:] / x[:-1]).log()\n",
    "pyplot.plot(r, \"k\", lw=0.1)\n",
    "pyplot.title(\"daily log returns\")\n",
    "pyplot.xlabel(\"trading day\");"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAwQAAAE6CAYAAACoFJUWAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjguMCwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy81sbWrAAAACXBIWXMAAA9hAAAPYQGoP6dpAABDMklEQVR4nO3de1xVVf7/8fcBuQlIIsrFuzVqJGIhecu7UqilZZqX1PKSJU5DVqY5pk41kk7lfBM1u+jMmOk3TTL16628lJdEQ0uxphoMS5Q0BdRBFNbvj36cPHIR8MABzuv5eJyHnnXWXvuzF+vA+Zy91t4WY4wRAAAAAKfk4ugAAAAAADgOCQEAAADgxEgIAAAAACdGQgAAAAA4MRICAAAAwImREAAAAABOjIQAAAAAcGIkBAAAAIATIyEAAAAAnBgJAZza0qVLZbFYinxs377dIXFZLBbNnDmzRHXzj+HYsWPlEsv27dtvqC8Ki69bt27q1q1bqdpJTk7WzJkzS32c1+7r2LFjslgs+tvf/laqdq7nr3/9qxISEgqU32j/oXytWLFCbdq0kaenp0JCQhQbG6vz58+XePs33nhDLVu2lIeHh5o2bapZs2bp8uXLBeqlp6frkUceUUBAgGrWrKkOHTrok08+KbTNrVu3qkOHDqpZs6YCAgL0yCOPKD093abOgQMHFBMTo7CwMPn6+iowMFC9evXSp59+WqC9t99+WwMGDFCTJk3k5eWlW265RU888YTS0tIK3f/p06f1pz/9SU2aNJGHh4cCAwMVHR2tX3/9tcT9UhoXL17UzJkzS/UemTlzpiwWi91iqIhx8NNPPyk2NlZdu3bVTTfdJIvFoqVLlxba3rp16zRy5EiFhYXJzc2t2GP997//rYEDB6p27dqqWbOm2rVrp7Vr15Y4dkCSZAAntmTJEiPJLFmyxOzZs6fAIyMjwyFx7dmzxxw/frxEddPT082ePXtMdnZ2ucSybds2I8ls27atTNvn93FKSoq17MiRI+bIkSOlaueDDz4oUxzX7islJcVIMnPnzi1VO9fj7e1tRo0aVaA8IyPDoWMJRVu2bJmRZMaOHWs+/fRTs2jRIuPn52d69+5dou1feuklY7FYzNSpU822bdvMnDlzjLu7uxk3bpxNvezsbNOqVSvToEEDs2zZMrN582bTv39/U6NGDbN9+3abutu3bzc1atQw/fv3N5s3bzbLli0z9evXN61atbJ5jz/99NOmbdu25rXXXjOffPKJWbt2renTp4+RZP7xj3/YtBkSEmKGDx9u3nvvPbN9+3bz5ptvmgYNGpjg4GBz8uRJm7o///yzadasmWnevLl5++23zY4dO8zq1avNxIkTTVpaWmm6t8R++eUXI8nMmDGjxNvMmDHD2OsjTEWNg23btpmAgADTq1cvM3ToUOvfnsKMHj3a/OEPfzCDBw82ERERRR5rSkqK8ff3N7fddptZsWKFWbdunenbt6+xWCxm1apVpeoHODcSAji1/A+riYmJjg6l1C5evGjy8vLKfT/lkRCURWkTggsXLhRaXtEJASqnK1eumODgYBMVFWVT/t577xlJZsOGDcVuf/r0aePp6Wkee+wxm/KXX37ZWCwWmyQ0Pj7eSDK7d++2ll2+fNmEhoaaO++802b7yMhIExoaai5fvmwt27Vrl5FkFixYYC07depUocfUunVrc/PNN9uUF1Y3MTHRSDIvvviiTXn//v1N/fr1za+//lrc4duVIxOCihwHubm51v/n939RCcHVdWNiYoo81vHjxxtPT0/z008/2RzTrbfeaho2bGjTDlAcpgwBJWSxWDRx4kQtWbJELVq0kJeXl9q2bau9e/fKGKO5c+eqadOm8vHxUY8ePfT999/bbN+tWze1atVKn332mdq3by8vLy/Vr19f06dPV25uboF9XT1lKH/azebNmzV69GjVrVtXNWvW1KVLl4qcMrRx40b17NlTfn5+qlmzpm699VbNnj3b+vr+/fs1ZMgQ6zSCJk2aaOjQofrxxx/L3Ed79+5Vp06drKfdp06dWuj0icKmDC1cuFDh4eHy8fGRr6+vWrZsqeeff956/IMGDZIkde/e3TqlK/90e37f7ty5Ux07dlTNmjU1evToIvclSXl5eXr55ZfVqFEjeXp6qm3btgWmcDzyyCNq0qRJgW2vna5gsVh04cIF/eMf/7DGlr/PoqYMrV271jotxNfXV71799aePXsK3c+RI0c0dOhQ+fn5KTAwUKNHj1ZGRkaBuMoqP8bly5frueeeU3BwsHx8fHTvvffq1KlTysrK0mOPPaaAgAAFBATo0UcfLTCdwhijBQsWqE2bNvLy8lLt2rX14IMP6j//+Y9NvS1btqh///5q0KCBPD09dcstt2j8+PE6ffp0hR773r17lZaWpkcffdSmfNCgQfLx8dGaNWuK3X7jxo3Kzs4usP2jjz4qY4zN9LE1a9aoRYsW6tChg7WsRo0aevjhh7Vv3z79/PPPkqSff/5ZiYmJGjFihGrUqGGt27FjRzVv3twmpnr16hWIydXVVRERETp+/LhNeWF1IyIi5OrqalP32LFjWrt2rcaNG6fatWsXe/yl8emnn6pbt26qU6eOvLy81KhRIw0cOFAXL17UsWPHVLduXUnSrFmzrO+fRx55xLr9+vXr1aZNG+t0HHtO96vIceDiUvKPXCWtu2vXLoWHh6t+/frWMldXV0VHR+v48ePat29fifcJ50ZCAEjKzc3VlStXbB7XfkiXfpvX+fbbbysuLk7vv/++srKy1LdvXz399NPatWuX5s+fr8WLFys5OVkDBw6UMcZm+5MnT2rIkCEaPny4PvroIz344IN66aWX9Kc//alEcY4ePVpubm7617/+pVWrVsnNza3Qeu+884769OmjvLw8LVq0SB9//LGefPJJ/fTTT9Y6x44dU4sWLTRv3jxt2rRJr7zyitLS0hQZGVngw1lJJCcnq2fPnjp37pyWLl2qRYsWKSkpSS+99NJ1t12xYoUmTJigrl27as2aNUpISNBTTz2lCxcuSJL69u2rv/71r5Kk+Ph47dmzR3v27FHfvn2tbaSlpenhhx/WsGHDtGHDBk2YMKHYfc6fP18bN27UvHnztGzZMrm4uCg6OrrAh/KS2LNnj7y8vNSnTx9rbAsWLCiy/vLly9W/f3/VqlVL77//vt555x2dPXtW3bp10+eff16g/sCBA9W8eXOtXr1aU6ZM0fLly/XUU0+VOs7ref7555Wenq6lS5fq1Vdf1fbt2zV06FANHDhQfn5+ev/99zV58mT961//siZr+caPH6/Y2Fj16tVLCQkJWrBggY4cOaKOHTvq1KlT1no//PCDOnTooIULF2rz5s164YUX9MUXX+iuu+4qNHksybEX9v4t7JGXl2fd5vDhw5Kk1q1b27Tl5uamli1bWl8vSv7rYWFhNuXBwcEKCAiw2f7w4cMF9nP1vo8cOVJsTPll14vpypUr+uyzz3TbbbcVW0+SduzYodzcXJu6n332mYwxCgkJ0dChQ+Xj4yNPT09169atTO8L6bffM3379pW7u7veffddbdy4UXFxcfL29lZOTo6Cg4O1ceNGSdKYMWOs75/p06dLkj755BP1799fvr6+WrFihebOnav//d//1ZIlSwrsq7KPg/KQk5MjDw+PAuX5ZV999VW57h/ViCNPTwCOlj+dpbCHq6urTV1JJigoyJw/f95alpCQYCSZNm3a2EzfmTdvnpFkvvrqK2tZ165djSTz0Ucf2bQ7btw44+LiYn788UebfV19+jw/zpEjRxZ5DPlTcrKyskytWrXMXXfdVaopRVeuXDHnz5833t7e5u9//7u1vKRThh566CHj5eVlMyf5ypUrpmXLlgWmDHXt2tV07drV+nzixInmpptuKrb94qYM5fftJ598UuhrV+8rf8pQSEiI+e9//2stz8zMNP7+/qZXr17WslGjRpnGjRsXaLOw6QpFTRm6tv9yc3NNSEiICQsLszmdn5WVZerVq2c6duxYYD9z5syxaXPChAnG09PTblPG8mO89957bcpjY2ONJPPkk0/alA8YMMD4+/tbn+/Zs8dIMq+++qpNvePHjxsvLy8zefLkQvebl5dnLl++bH788ccC743SHHv+z/96j6t/Pi+//LKRVOi8+KioKNO8efMieus348aNMx4eHoW+1rx5c5spKG5ubmb8+PEF6u3evdtIMsuXLzfG/D5NZc+ePQXqPvbYY8bd3b3YmKZNm2YkmYSEhGLrZWZmWqeUZGVlWctnz55tJJlatWqZ/v37m40bN5rVq1eb1q1bG09PT3Po0KFi2y3MqlWrjCRz8ODBIusUN2WoXbt2Rb5Xr30PVvZxcLXrTRm6WnFThgYMGGBuuukmm5+jMcZ07tzZSDJ//etfr9s+YIwxv5+TBJzYP//5T9166602ZYVd1aF79+7y9va2Ps/fJjo62qZ+fvmPP/5o882Rr6+v7rvvPps2hw0bprfeeks7d+7Uww8/XGycAwcOvO6x7N69W5mZmZowYUKxV6Y4f/68XnzxRa1evVrHjh2zOSNy9OjR6+7nWtu2bVPPnj0VGBhoLXN1ddVDDz2kWbNmFbvtnXfeqfnz52vo0KEaMmSIOnXqpICAgFLtv3bt2urRo0eJ6z/wwAPy9PS0Pvf19dW9996r999/X7m5uXJ1dS3V/kvq22+/1YkTJxQbG2szLcDHx0cDBw7Um2++qYsXL6pmzZrW164dM61bt1Z2drbS09Nt+vtG9evXz+Z5/ji++kxMfnlCQoLOnz8vHx8frVu3ThaLRQ8//LCuXLlirRcUFKTw8HCb6VLp6el64YUXtH79ep04ccLm29qjR48WONaSHPubb76prKys6x5fYWOqqPdISa5gU1yda1+zR93i2nj77bf18ssv6+mnn1b//v2LrJedna0HHnhAP/74oz799FP5+PhYX8v/WTRo0ECrV6+2vgc6dOigW265RXPmzNGyZcuKbLswbdq0kbu7ux577DFNmDBBnTt3VrNmzUq07YULF5SYmKgJEyYU+l79xz/+YVO/KowDe5s4caI++ugjjRw5Un/729/k7e2t+fPna/fu3ZJKN00Jzo2EANBvH3Datm173Xr+/v42z93d3Ystz87Otikv7MNbUFCQJOnMmTPX3X9wcPB16/zyyy+SfvujXpxhw4bpk08+0fTp0xUZGalatWrJYrGoT58++u9//3vd/VzrzJkz1mO5WmFl1xoxYoSuXLmit956SwMHDlReXp4iIyP10ksvqXfv3iXaf0n65npxBQUFKScnR+fPn5efn1+p2iup/J9zYfGGhIQoLy9PZ8+etUkI6tSpY1MvfzpAWX5OxSnL+Pbx8dGpU6dkjCkyOcn/AJiXl6eoqCidOHFC06dPV1hYmLy9vZWXl6f27dsXejwlOfZbbrmlwPS8wlz94Si/3TNnzhSI+9dffy1wzIXFlZ2dXSB5y98+IiLCpm5h7+/8y3jm7+vqmAqrW1RMS5Ys0fjx4/XYY49p7ty5RcZ86dIl3X///fr888+1bt06tWvXrsAxSVKvXr1sEuLg4GCFh4fryy+/LLLtotx8883aunWr5syZo5iYGF24cEHNmjXTk08+ed2pkmfPnlVeXl6Jf69U9nFQHnr27KklS5bo6aef1s033yxJCg0N1Ysvvqjnn3/eZm0BUBxSR6ACXT2XOt/JkyclFfzgU5iSfNuUv0Dv6vUC18rIyNC6des0efJkTZkyRT179lRkZKTCwsLKfK3xOnXqWI/laoWVFebRRx/V7t27lZGRofXr18sYo379+pV4kXNpv4krKlZ3d3frt6aenp66dOlSgXplWWORL//nXNg14E+cOCEXFxe7LuisCAEBAbJYLPr888+VmJhY4JG/sPLw4cM6dOiQ5s6dqz/+8Y/q1q2bIiMjSzT2i9OzZ0+5ubld95G/0Fz6fc73119/bdPWlStX9M0336hVq1bF7rOo7U+ePKnTp0/bbB8WFlag3tXb5tfN/7eouoXFtGTJEo0dO1ajRo3SokWLinwfXLp0SQMGDNC2bduUkJCgnj17FqhT2NqFfMaYMn/b3LlzZ3388cfKyMjQ3r171aFDB8XGxmrFihXFble7dm1ZLJYS/16p7OOgvIwaNUonT55UcnKyvvvuO+uaFIvFos6dO5f7/lE9cIYAqEBZWVlau3atzTSI5cuXy8XFRV26dLHLPjp27Cg/Pz8tWrRIQ4YMKfQDgsVikTGmwGK0t99+u9DF1CXRvXt3rV27VqdOnbJ+05abm6uVK1eWqh1vb29FR0crJydHAwYM0JEjR9S4cWO7fyv+4Ycfau7cudapCFlZWfr444/VuXNn67ejTZo0UXp6us0x5eTkaNOmTQXa8/DwKFFsLVq0UP369bV8+XI988wz1p/PhQsXtHr1auuVh6qSfv36KS4uTj///LMGDx5cZL38Y7123L355ps3tP+yTBVp166dgoODtXTpUj300EPW8lWrVun8+fN64IEHim3rnnvukaenp5YuXWrzTXv+Vb8GDBhgLbv//vs1YcIEffHFF9a6V65c0bJly9SuXTuFhIRIkurXr68777xTy5Yt0zPPPGMdh3v37tW3336r2NhYmxiWLl2qsWPH6uGHH9bbb79dbDJw//3369NPP9WHH36ou+++u9B67dq1U4MGDbR582abaXMnTpzQoUOHNGzYsGL75HpcXV3Vrl07tWzZUu+9956+/PJLDRkypMj3tre3t+68884i36vXquzjoDzVqFHDOsUvIyNDixcvVv/+/dW4ceMK2T+qPhICQL99c3n13Od8N998s/Ubd3uoU6eOnnjiCaWmpqp58+basGGD3nrrLT3xxBNq1KiRXfbh4+OjV199VWPHjlWvXr00btw4BQYG6vvvv9ehQ4c0f/581apVS126dNHcuXMVEBCgJk2aaMeOHXrnnXd00003lWm/f/7zn7V27Vr16NFDL7zwgmrWrKn4+HjrlYKKM27cOHl5ealTp04KDg7WyZMnNXv2bPn5+SkyMlLS79+eLl68WL6+vvL09FTTpk3L/O2yq6urevfurUmTJikvL0+vvPKKMjMzbdY7PPTQQ3rhhRc0ZMgQPfvss8rOztb//M//FJo0hYWFafv27fr4448VHBwsX19ftWjRokA9FxcXzZkzR8OHD1e/fv00fvx4Xbp0SXPnztW5c+cUFxdXpuPp2bOnduzYUeg4Lm+dOnXSY489pkcffVT79+9Xly5d5O3trbS0NH3++ecKCwvTE088oZYtW+rmm2/WlClTZIyRv7+/Pv74Y23ZsuWG9l9YP1+Pq6ur5syZoxEjRmj8+PEaOnSovvvuO02ePFm9e/fWPffcY627Y8cO9ezZUy+88IJeeOEFSb9N8/nzn/+s6dOny9/fX1FRUUpMTNTMmTM1duxYhYaGWrcfPXq04uPjNWjQIMXFxalevXpasGCBvv32W23dutUmrldeeUW9e/fWoEGDNGHCBKWnp2vKlClq1aqVzaUtP/jgA40ZM0Zt2rTR+PHjC1xe8vbbb7d+0H7wwQf1f//3f5o2bZrq1KmjvXv3WuvVqlXLGquLi4tef/11DR48WP3799cTTzyhCxcu6MUXX5S7u7umTp1qsw+LxaKuXbsWe4fhRYsW6dNPP1Xfvn3VqFEjZWdn691335X029Qk6bc1AY0bN9ZHH32knj17yt/f3/p76cUXX9Q999yj3r176+mnn1Zubq5eeeUVeXt7FzibWdnHgfRboiHJejne/fv3W89IPvjgg9Z6P/74oxITEyX9dmWuq7dt0qSJdYprenq6Xn31VXXq1Em+vr765ptvNGfOHLm4uCg+Pr7U/QEn5sAFzYDDFXeVIUnmrbfestaVZGJiYmy2L+omV/lXbfnggw+sZV27djW33Xab2b59u2nbtq3x8PAwwcHB5vnnn7e5CVH+vgq7ylBhN1Ar6sZfGzZsMF27djXe3t6mZs2aJjQ01LzyyivW13/66SczcOBAU7t2bePr62vuuecec/jwYdO4cWObq3CU5sZku3btMu3btzceHh4mKCjIPPvss2bx4sXXvcrQP/7xD9O9e3cTGBho3N3dTUhIiBk8eLDNVZqM+e3qTU2bNjWurq42V+jI79vCFHWVoVdeecXMmjXLNGjQwLi7u5vbb7/dbNq0qcD2GzZsMG3atDFeXl6mWbNmZv78+YVeZejgwYOmU6dOpmbNmkaSdZ9F9V9CQoJp166d8fT0NN7e3qZnz55m165dNnXy9/PLL7/YlBf2M8+/wkpZFDZer97PteOuqLjeffdd065dO+Pt7W28vLzMzTffbEaOHGn2799vrZOcnGx69+5tfH19Te3atc2gQYNMampqgTFfmmO/EcuXLzetW7c27u7uJigoyDz55JMFrtiS3z+FXQXn73//u2nevLlxd3c3jRo1MjNmzDA5OTkF6p08edKMHDnS+Pv7G09PT9O+fXuzZcuWQmPavHmzad++vfH09DT+/v5m5MiRBW4uNmrUqGJ/d13dP8XVu/q9kS8hIcFERkYaT09P4+fnZ+67774CdxbPysoyksyQIUOK6Nnf7Nmzx9x///2mcePGxsPDw9SpU8d07drVrF271qbe1q1bze233248PDwKXAlo7dq11p9Ro0aNTFxcnF3vVGxMxY2D4n4WVyvub9PVfXPmzBkTFRVl6tata9zc3EyjRo3MH//4xwLvG+B6LMaUYAUOgBvWrVs3nT59utyvSw0A5W3Dhg3q16+fDh06VOAa/ACqHhYVAwCAUtm2bZuGDBlCMgBUE6whAAAApVLc5U0BVD1MGQIAAACcGFOGAAAAACdGQgAAAAA4MRICAAAAwIk5/aLivLw8nThxQr6+vkXe5REAAACoSowxysrKUkhIiFxcij8H4PQJwYkTJ9SwYUNHhwEAAADY3fHjx9WgQYNi6zh9QuDr6yvpt86qVauWg6MBAAAAblxmZqYaNmxo/axbHKdPCPKnCdWqVYuEAAAAANVKSabEs6gYAAAAcGIkBAAAAIATIyEAAAAAnBgJAQAAAODEnDYhiI+PV2hoqCIjIx0dCgAAAOAwFmOMcXQQjpSZmSk/Pz9lZGRwlSEAAABUC6X5jOu0ZwgAAAAAcB8CAAAqTJMp663/PxbX14GRAMDvSAgAAChHVycBAFAZMWUIAAAAcGIkBAAAAIATIyEAAAAAnBgJAQAAAODEWFQMAIAdsYgYQFVDQgAAgANwCVIAlYXTThmKj49XaGioIiMjHR0KAAAA4DBOmxDExMQoOTlZiYmJjg4FAAAAcBinTQgAAAAAsIYAAACHYz0BAEfiDAEAAADgxEgIAAAAACfGlCEAAG4Q9x4AUJVxhgAAAABwYiQEAAAAgBMjIQAAAACcGAkBAAAA4MRYVAwAQBmwkBhAdUFCAABAJcJNygBUtCo/ZSgrK0uRkZFq06aNwsLC9NZbbzk6JAAAAKDKqPJnCGrWrKkdO3aoZs2aunjxolq1aqUHHnhAderUcXRoAAAAQKVX5c8QuLq6qmbNmpKk7Oxs5ebmyhjj4KgAAACAqsHhCcHOnTt17733KiQkRBaLRQkJCQXqLFiwQE2bNpWnp6ciIiL02Wef2bx+7tw5hYeHq0GDBpo8ebICAgIqKHoAAACganN4QnDhwgWFh4dr/vz5hb6+cuVKxcbGatq0aUpKSlLnzp0VHR2t1NRUa52bbrpJhw4dUkpKipYvX65Tp04Vub9Lly4pMzPT5gEAAAA4K4cnBNHR0XrppZf0wAMPFPr6a6+9pjFjxmjs2LG69dZbNW/ePDVs2FALFy4sUDcwMFCtW7fWzp07i9zf7Nmz5efnZ300bNjQbscCAAAAVDUOTwiKk5OTowMHDigqKsqmPCoqSrt375YknTp1yvotf2Zmpnbu3KkWLVoU2ebUqVOVkZFhfRw/frz8DgAAAACo5Cr1VYZOnz6t3NxcBQYG2pQHBgbq5MmTkqSffvpJY8aMkTFGxhhNnDhRrVu3LrJNDw8PeXh4lGvcAADYw7U3P+O+BADKQ6VOCPJZLBab58YYa1lERIQOHjxY6jbj4+MVHx+v3Nxce4QIAHAC3J0YQHVUqacMBQQEyNXV1Xo2IF96enqBswalFRMTo+TkZCUmJt5QOwAAAEBVVqkTAnd3d0VERGjLli025Vu2bFHHjh0dFBUAAABQfTh8ytD58+f1/fffW5+npKTo4MGD8vf3V6NGjTRp0iSNGDFCbdu2VYcOHbR48WKlpqbq8ccfv6H9MmUIAAAAkCzGwbf13b59u7p3716gfNSoUVq6dKmk325MNmfOHKWlpalVq1Z6/fXX1aVLF7vsPzMzU35+fsrIyFCtWrXs0iYAoHpy9BoCFhUDKKnSfMZ1eELgaCQEAICSIiEAUFWU5jOuw6cMAQBQmTk6CQCA8lapFxWXp/j4eIWGhioyMtLRoQAAAAAOw5QhpgwBAIpRWc8QMH0IQHFK8xnXac8QAAAAACAhAAAAAJya0yYErCEAAAAAnDghiImJUXJyshITEx0dCgAAAOAwTpsQAAAAACAhAAAAAJwaNyYDAOAalfVSowBQHpw2IYiPj1d8fLxyc3MdHQoAAKV2ddLCPQkA3AinnTLEomIAAADAiRMCAAAAACQEAAAAgFMjIQAAAACcGAkBAAAA4MS4yhBXGQIAp8dlRgE4M6c9Q8BVhgAAAAAnPkMAAEB1wT0JANwIpz1DAAAAAICEAAAAAHBqJAQAAACAE2MNAQDAKXFlIQD4jdOeIYiPj1doaKgiIyMdHQoAAADgME6bEHDZUQAAAIApQwAAVCtcghRAaTntGQIAAAAAJAQAAACAUyMhAAAAAJwYCQEAAADgxEgIAAAAACfGVYYAAE6Dm5EBQEGcIQAAAACcGAkBAAAA4MScNiGIj49XaGioIiMjHR0KAAAA4DBOmxDExMQoOTlZiYmJjg4FAAAAcBgWFQMAUE1dvYj6WFxfB0YCoDJz2jMEAAAAAEgIAAAAAKfGlCEAQLXGvQcAoHicIQAAAACcGAkBAAAA4MRICAAAAAAnxhoCAACcwLVrKbgMKYB8JAQAgGqHhcQAUHJMGQIAAACcGAkBAAAA4MSqfEJw/PhxdevWTaGhoWrdurU++OADR4cEAAAAVBlVfg1BjRo1NG/ePLVp00bp6em644471KdPH3l7ezs6NAAAAKDSq/IJQXBwsIKDgyVJ9erVk7+/v3799VcSAgAAAKAEHD5laOfOnbr33nsVEhIii8WihISEAnUWLFigpk2bytPTUxEREfrss88KbWv//v3Ky8tTw4YNyzlqAACqtiZT1lsfAJybwxOCCxcuKDw8XPPnzy/09ZUrVyo2NlbTpk1TUlKSOnfurOjoaKWmptrUO3PmjEaOHKnFixdXRNgAAABAteDwKUPR0dGKjo4u8vXXXntNY8aM0dixYyVJ8+bN06ZNm7Rw4ULNnj1bknTp0iXdf//9mjp1qjp27Fjs/i5duqRLly5Zn2dmZtrhKAAAAICqqUxnCHr06KFz584VKM/MzFSPHj1uNCarnJwcHThwQFFRUTblUVFR2r17tyTJGKNHHnlEPXr00IgRI67b5uzZs+Xn52d9ML0IAKoHpsAAQNmUKSHYvn27cnJyCpRnZ2cXOb+/LE6fPq3c3FwFBgbalAcGBurkyZOSpF27dmnlypVKSEhQmzZt1KZNG3399ddFtjl16lRlZGRYH8ePH7dbvAAAAEBVU6opQ1999ZX1/8nJydYP5ZKUm5urjRs3qn79+vaL7v+zWCw2z40x1rK77rpLeXl5JW7Lw8NDHh4eio+PV3x8vHJzc+0aKwAAAFCVlCohaNOmjSwWiywWS6FTg7y8vPTGG2/YLbiAgAC5urraJB6SlJ6eXuCsQWnFxMQoJiZGmZmZ8vPzu6G2AAAVj6lBAGAfpUoIUlJSZIxRs2bNtG/fPtWtW9f6mru7u+rVqydXV1e7Befu7q6IiAht2bJF999/v7V8y5Yt6t+/v932AwCAM7s6uToW19eBkQBwhFIlBI0bN5akUk3RuZ7z58/r+++/tz5PSUnRwYMH5e/vr0aNGmnSpEkaMWKE2rZtqw4dOmjx4sVKTU3V448/fkP7ZcoQAAAAIFmMMaYsG/773//W9u3blZ6eXiBBeOGFF0rczvbt29W9e/cC5aNGjdLSpUsl/XZjsjlz5igtLU2tWrXS66+/ri5dupQl7ALypwxlZGSoVq1admkTAFD+mDJUPjhDAFQPpfmMW6aE4K233tITTzyhgIAABQUF2Sz6tVgs+vLLL0sftYOQEABA1URCUD5ICIDqoTSfcct0Y7KXXnpJL7/8sp577rkyBQgAACon1hMAzqdM9yE4e/asBg0aZO9YKlR8fLxCQ0MVGRnp6FAAAAAAhylTQjBo0CBt3rzZ3rFUqJiYGCUnJysxMdHRoQAAAAAOU6YpQ7fccoumT5+uvXv3KiwsTG5ubjavP/nkk3YJDgAAAED5KtOi4qZNmxbdoMWi//znPzcUVEViUTEAVD4lmcfOouLyxxoCoOoq90XFKSkpZQqsMuE+BAAAAMAN3IeguuAMAQBUPkWdIeCsgONwtgCoWsr9DMHo0aOLff3dd98tS7MAABRAEgAA5atMCcHZs2dtnl++fFmHDx/WuXPn1KNHD7sEBgAAAKD8lSkhWLNmTYGyvLw8TZgwQc2aNbvhoAAAAABUjDLdh6DQhlxc9NRTT+n111+3V5PlihuTAQAAAHZMCCTphx9+0JUrV+zZZLnhxmQAAABAGacMTZo0yea5MUZpaWlav369Ro0aZZfAAADOhcXDAOAYZUoIkpKSbJ67uLiobt26evXVV697BSIAAAAAlUeZEoJt27bZOw4AAAAADlCmhCDfL7/8om+//VYWi0XNmzdX3bp17RUXAAAAgApQpkXFFy5c0OjRoxUcHKwuXbqoc+fOCgkJ0ZgxY3Tx4kV7x1guuMoQAAAAUMaEYNKkSdqxY4c+/vhjnTt3TufOndNHH32kHTt26Omnn7Z3jOWCqwwBAAAAZZwytHr1aq1atUrdunWzlvXp00deXl4aPHiwFi5caK/4AABAJXPtFaGOxfV1UCQA7KFMCcHFixcVGBhYoLxevXpVZsoQAMDxuNQoADhemaYMdejQQTNmzFB2dra17L///a9mzZqlDh062C04AAAAAOWrTGcI5s2bp+joaDVo0EDh4eGyWCw6ePCgPDw8tHnzZnvHCAAAHIyzOUD1VaaEICwsTN99952WLVumb775RsYYDRkyRMOHD5eXl5e9YwQAAABQTsqUEMyePVuBgYEaN26cTfm7776rX375Rc8995xdggMAAABQvsq0huDNN99Uy5YtC5TfdtttWrRo0Q0HVRG4DwEAAPbRZMp66wNA1VOmhODkyZMKDg4uUF63bl2lpaXdcFAVgfsQAAAAAGVMCBo2bKhdu3YVKN+1a5dCQkJuOCgAAAAAFaNMawjGjh2r2NhYXb58WT169JAkffLJJ5o8eXKVuVMxAAAAgDImBJMnT9avv/6qCRMmKCcnR5Lk6emp5557TlOnTrVrgAAAAADKT5kSAovFoldeeUXTp0/X0aNH5eXlpT/84Q/y8PCwd3wAAAAAylGZEoJ8Pj4+XKUHAAAAqMJuKCEAAOB6uBQlAFRuZbrKEAAAAIDqgTMEAADAbq4+I3Qsrq8DIwFQUk57hoA7FQMAAABOnBBwp2IAAADAiRMCAAAAACQEAAAAgFMjIQAAAACcGFcZAgCUGVeUQXGKugdFcWOFMQVUPBICAIBdcAMyAKiamDIEAAAAODHOEAAAgArFtCCgcuEMAQAAAODESAgAAAAAJ0ZCAAAAADgx1hAAAIrFfG+UJ65OBThetThDcP/996t27dp68MEHHR0KAAAAUKVUi4TgySef1D//+U9HhwEAAMpJkynrrQ8A9lUtEoLu3bvL19fX0WEAAAAAVY7D1xDs3LlTc+fO1YEDB5SWlqY1a9ZowIABNnUWLFiguXPnKi0tTbfddpvmzZunzp07OyZgAHBifDuLisR4AyqGw88QXLhwQeHh4Zo/f36hr69cuVKxsbGaNm2akpKS1LlzZ0VHRys1NbWCIwUAAACqH4efIYiOjlZ0dHSRr7/22msaM2aMxo4dK0maN2+eNm3apIULF2r27Nml3t+lS5d06dIl6/PMzMzSBw0AAABUEw5PCIqTk5OjAwcOaMqUKTblUVFR2r17d5nanD17tmbNmmWP8ACg0uJSoXAW104rYrwDpefwKUPFOX36tHJzcxUYGGhTHhgYqJMnT1qf33333Ro0aJA2bNigBg0aKDExscg2p06dqoyMDOvj+PHj5RY/AAAAUNlV6jME+SwWi81zY4xN2aZNm0rcloeHhzw8POwWGwAAAFCVVeqEICAgQK6urjZnAyQpPT29wFmD0oqPj1d8fLxyc3NvqB0AqMqYWgQAqNRThtzd3RUREaEtW7bYlG/ZskUdO3a8obZjYmKUnJxc7PQiAAAAoLpz+BmC8+fP6/vvv7c+T0lJ0cGDB+Xv769GjRpp0qRJGjFihNq2basOHTpo8eLFSk1N1eOPP+7AqAEAAIDqweEJwf79+9W9e3fr80mTJkmSRo0apaVLl+qhhx7SmTNn9Je//EVpaWlq1aqVNmzYoMaNG9/QfpkyBABF44ZQAOA8HJ4QdOvWTcaYYutMmDBBEyZMsOt+Y2JiFBMTo8zMTPn5+dm1bQAAAKCqqNRrCAAAAACUL6dNCOLj4xUaGqrIyEhHhwIAAAA4jNMmBFxlCAAAAHDihAAAAAAACQEAAADg1Bx+lSFH4bKjACqzay/7ac+7CHNJUcB+uNs3qgOnPUPAGgIAAADAiRMCAAAAACQEAAAAgFMjIQAAAACcGIuKWVQMoJIoy2LfkixoLGm7LDaGs2AhMGDLac8QsKgYAAAAcOKEAAAAAAAJAQAAAODUSAgAAAAAJ0ZCAAAAADgxp00I4uPjFRoaqsjISEeHAgAAADiM0yYEXGUIAAAAcOKEAAAAAAAJAQAAAODUSAgAAAAAJ0ZCAAAAADgxEgIAAADAiZEQAAAAAE6shqMDcJT4+HjFx8crNzfX0aEAwHU1mbLe+v9jcX0dGAlQvRT33rr6tavd6HuwJO9n3vOoSE57hoD7EAAAAABOnBAAAAAAICEAAAAAnBoJAQAAAODESAgAAAAAJ0ZCAAAAADgxEgIAAADAiZEQAAAAAE6MhAAAAABwYiQEAAAAgBOr4egAHCU+Pl7x8fHKzc11dCgASqnJlPU2z4/F9S31NiVxdbtXb19UeVnaBVB6xb3vinqvVsT+y2vfxf3Oq4jjLanKFAtKx2nPEMTExCg5OVmJiYmODgUAAABwGKdNCAAAAACQEAAAAABOjYQAAAAAcGIkBAAAAIATIyEAAAAAnBgJAQAAAODESAgAAAAAJ0ZCAAAAADgxEgIAAADAiZEQAAAAAE6MhAAAAABwYtUiIVi3bp1atGihP/zhD3r77bcdHQ4AAABQZdRwdAA36sqVK5o0aZK2bdumWrVq6Y477tADDzwgf39/R4cGAAAAVHpV/gzBvn37dNttt6l+/fry9fVVnz59tGnTJkeHBQAAAFQJDk8Idu7cqXvvvVchISGyWCxKSEgoUGfBggVq2rSpPD09FRERoc8++8z62okTJ1S/fn3r8wYNGujnn3+uiNABAACAKs/hCcGFCxcUHh6u+fPnF/r6ypUrFRsbq2nTpikpKUmdO3dWdHS0UlNTJUnGmALbWCyWIvd36dIlZWZm2jwAAAAAZ+XwNQTR0dGKjo4u8vXXXntNY8aM0dixYyVJ8+bN06ZNm7Rw4ULNnj1b9evXtzkj8NNPP6ldu3ZFtjd79mzNmjXLfgdwg5pMWW/9/7G4vg6MBNVFdRpTVx9LdXKjx1XU9tW1v4CyKu17whHvobLs80bivHbbq/9OlOTvR1n+xhQVb1X/G1WUqvh32OFnCIqTk5OjAwcOKCoqyqY8KipKu3fvliTdeeedOnz4sH7++WdlZWVpw4YNuvvuu4tsc+rUqcrIyLA+jh8/Xq7HAAAAAFRmDj9DUJzTp08rNzdXgYGBNuWBgYE6efKkJKlGjRp69dVX1b17d+Xl5Wny5MmqU6dOkW16eHjIw8OjXOMGAAAAqopKnRDku3ZNgDHGpuy+++7TfffdV6o24+PjFR8fr9zcXLvECAAAAFRFlXrKUEBAgFxdXa1nA/Klp6cXOGtQWjExMUpOTlZiYuINtQMAAABUZZU6IXB3d1dERIS2bNliU75lyxZ17NjRQVEBAAAA1YfDpwydP39e33//vfV5SkqKDh48KH9/fzVq1EiTJk3SiBEj1LZtW3Xo0EGLFy9WamqqHn/88RvaL1OGAAAAgEqQEOzfv1/du3e3Pp80aZIkadSoUVq6dKkeeughnTlzRn/5y1+UlpamVq1aacOGDWrcuPEN7TcmJkYxMTHKzMyUn5/fDbUFAAAAVFUOTwi6detW6M3FrjZhwgRNmDChgiICAAAAnEelXkMAAAAAoHw5/AyBo+SvIbhy5YokKTMz0yFx5F26aP2/o2JA9VKdxtTVx1KckhxnSdsqqt2i+rUs7QKo/or7vVRevzfK8ruwJL/nitr+2jql/T1Z1f9GFaWy/B3O3/f1ZuJIksWUpFY19tNPP6lhw4aODgMAAACwu+PHj6tBgwbF1nH6hCAvL08nTpyQr69vgRugoXiZmZlq2LChjh8/rlq1ajk6nCqNvrQf+tJ+6Ev7oS/th760D/rRfiprXxpjlJWVpZCQELm4FL9KwGmnDOVzcXG5btaE4tWqVatSvQGqMvrSfuhL+6Ev7Ye+tB/60j7oR/upjH1Z0itpsqgYAAAAcGIkBAAAAIATIyFAmXl4eGjGjBny8PBwdChVHn1pP/Sl/dCX9kNf2g99aR/0o/1Uh750+kXFAAAAgDPjDAEAAADgxEgIAAAAACdGQgAAAAA4MRICAAAAwImREKBYZ8+e1YgRI+Tn5yc/Pz+NGDFC586dK7L+5cuX9dxzzyksLEze3t4KCQnRyJEjdeLECZt6ly5d0h//+EcFBATI29tb9913n3766adyPhrHKW0/StKHH36ou+++WwEBAbJYLDp48GCBOt26dZPFYrF5DBkypHwOopIor750tjEpla0vjTGaOXOmQkJC5OXlpW7duunIkSM2dZxhXC5YsEBNmzaVp6enIiIi9NlnnxVbf8eOHYqIiJCnp6eaNWumRYsWFaizevVqhYaGysPDQ6GhoVqzZk15hV+p2Lsvly5dWmD8WSwWZWdnl+dhVAql6cu0tDQNGzZMLVq0kIuLi2JjYwutx7i0T19W9nFJQoBiDRs2TAcPHtTGjRu1ceNGHTx4UCNGjCiy/sWLF/Xll19q+vTp+vLLL/Xhhx/q3//+t+677z6berGxsVqzZo1WrFihzz//XOfPn1e/fv2Um5tb3ofkEKXtR0m6cOGCOnXqpLi4uGLrjRs3TmlpadbHm2++ac/QK53y6ktnG5NS2fpyzpw5eu211zR//nwlJiYqKChIvXv3VlZWlk296jwuV65cqdjYWE2bNk1JSUnq3LmzoqOjlZqaWmj9lJQU9enTR507d1ZSUpKef/55Pfnkk1q9erW1zp49e/TQQw9pxIgROnTokEaMGKHBgwfriy++qKjDcojy6EvptzvGXj3+0tLS5OnpWRGH5DCl7ctLly6pbt26mjZtmsLDwwutw7i0X19KlXxcGqAIycnJRpLZu3evtWzPnj1Gkvnmm29K3M6+ffuMJPPjjz8aY4w5d+6ccXNzMytWrLDW+fnnn42Li4vZuHGj/Q6gkrjRfkxJSTGSTFJSUoHXunbtav70pz/ZMdrKrbz60tnGpDFl68u8vDwTFBRk4uLirGXZ2dnGz8/PLFq0yFpW3cflnXfeaR5//HGbspYtW5opU6YUWn/y5MmmZcuWNmXjx4837du3tz4fPHiwueeee2zq3H333WbIkCF2irpyKo++XLJkifHz87N7rJVdafvyakW9ZxmXv7vRvqzs45IzBCjSnj175Ofnp3bt2lnL2rdvLz8/P+3evbvE7WRkZMhiseimm26SJB04cECXL19WVFSUtU5ISIhatWpVqnarCnv1Y1Hee+89BQQE6LbbbtMzzzxT4Jva6qS8+tLZxqRUtr5MSUnRyZMnbfrJw8NDXbt2LbBNdR2XOTk5OnDggE0fSFJUVFSR/bZnz54C9e+++27t379fly9fLrZOdR1/Uvn1pSSdP39ejRs3VoMGDdSvXz8lJSXZ/wAqkbL0ZUkwLn93o30pVe5xWcPRAaDyOnnypOrVq1egvF69ejp58mSJ2sjOztaUKVM0bNgw1apVy9quu7u7ateubVM3MDCwxO1WJfbox6IMHz5cTZs2VVBQkA4fPqypU6fq0KFD2rJlyw21W1mVV18625iUytaX+eWBgYE25YGBgfrxxx+tz6vzuDx9+rRyc3ML7YPi+q2w+leuXNHp06cVHBxcZJ3qOv6k8uvLli1baunSpQoLC1NmZqb+/ve/q1OnTjp06JD+8Ic/lNvxOFJZ+rIkGJe/u9HjruzjkjMETmjmzJmFLmy5+rF//35JksViKbC9MabQ8mtdvnxZQ4YMUV5enhYsWHDd+iVtt7KoqH4szrhx49SrVy+1atVKQ4YM0apVq7R161Z9+eWXN9RuRasMfVmYqjYmpYrpy2tfv3ab6jIui3O9PihJ/WvLS9tmdWHvvmzfvr0efvhhhYeHq3Pnzvrf//1fNW/eXG+88YadI698ymMMMS5/c6PHXdnHJWcInNDEiROve8WPJk2a6KuvvtKpU6cKvPbLL78UyJyvdfnyZQ0ePFgpKSn69NNPrWcHJCkoKEg5OTk6e/aszTey6enp6tixYymPxnEqoh9L64477pCbm5u+++473XHHHXZtuzw5ui+ry5iUyrcvg4KCJP32rWFwcLC1PD09vdj+r6rjsjABAQFydXUt8E1hcX0QFBRUaP0aNWqoTp06xdax9++IyqS8+vJaLi4uioyM1HfffWefwCuhsvRlSTAuf2fv465s45IzBE4oICBALVu2LPbh6empDh06KCMjQ/v27bNu+8UXXygjI6PYD0n5ycB3332nrVu3FvglHRERITc3N5vpA2lpaTp8+HCV+vBV3v1YFkeOHNHly5dtPqxVBY7uy+oyJqXy7cv8aUBX91NOTo527NhRbD9V1XFZGHd3d0VERBSY/rRly5Yi+6BDhw4F6m/evFlt27aVm5tbsXWq2vgrjfLqy2sZY3Tw4MFqMf6KUpa+LAnG5e9utC+vVenGZYUvY0aVcs8995jWrVubPXv2mD179piwsDDTr18/mzotWrQwH374oTHGmMuXL5v77rvPNGjQwBw8eNCkpaVZH5cuXbJu8/jjj5sGDRqYrVu3mi+//NL06NHDhIeHmytXrlTo8VWU0vajMcacOXPGJCUlmfXr1xtJZsWKFSYpKcmkpaUZY4z5/vvvzaxZs0xiYqJJSUkx69evNy1btjS33357te1HY8qnL41xvjFpTNn6Mi4uzvj5+ZkPP/zQfP3112bo0KEmODjYZGZmGmOcY1yuWLHCuLm5mXfeecckJyeb2NhY4+3tbY4dO2aMMWbKlClmxIgR1vr/+c9/TM2aNc1TTz1lkpOTzTvvvGPc3NzMqlWrrHV27dplXF1dTVxcnDl69KiJi4szNWrUsLkKVHVUHn05c+ZMs3HjRvPDDz+YpKQk8+ijj5oaNWqYL774osKPryKVti+NMSYpKckkJSWZiIgIM2zYMJOUlGSOHDlifZ1xab++rOzjkoQAxTpz5owZPny48fX1Nb6+vmb48OHm7NmzNnUkmSVLlhhjfr+sY2GPbdu2Wbf573//ayZOnGj8/f2Nl5eX6devn0lNTa24A6tgpe1HY367RFlh/ThjxgxjjDGpqammS5cuxt/f37i7u5ubb77ZPPnkk+bMmTMVd2AOUB59aYzzjUljytaXeXl5ZsaMGSYoKMh4eHiYLl26mK+//tr6urOMy/j4eNO4cWPj7u5u7rjjDrNjxw7ra6NGjTJdu3a1qb99+3Zz++23G3d3d9OkSROzcOHCAm1+8MEHpkWLFsbNzc20bNnSrF69urwPo1Kwd1/GxsaaRo0aGXd3d1O3bl0TFRVldu/eXRGH4nCl7cvCfi82btzYpg7j0j59WdnHpcWY/78aBwAAAIDTYQ0BAAAA4MRICAAAAAAnRkIAAAAAODESAgAAAMCJkRAAAAAAToyEAAAAAHBiJAQAAACAEyMhAAAAAJwYCQEAVAHdunVTbGxsietv375dFotF586dkyQtXbpUN9100w3F0KRJE82bN++G2gAAVD4kBABQDXXs2FFpaWny8/NzdCgV4toECABQciQEAFANubu7KygoSBaLxdGh3BBjjK5cuVKh+7x8+XKF7g8AHI2EAAAqmQsXLmjkyJHy8fFRcHCwXn311QJ1li1bprZt28rX11dBQUEaNmyY0tPTra8X9435sWPH5OLiov3799uUv/HGG2rcuLGMMSWKMzU1Vf3795ePj49q1aqlwYMH69SpUzZ1XnrpJdWrV0++vr4aO3aspkyZojZt2hTZZn7cmzZtUtu2beXh4aHPPvtMxhjNmTNHzZo1k5eXl8LDw7Vq1Srr8XTv3l2SVLt2bVksFj3yyCOSCp/m1KZNG82cOdP63GKxaNGiRerfv7+8vb310ksvaebMmWrTpo3+9a9/qUmTJvLz89OQIUOUlZVl3W7VqlUKCwuTl5eX6tSpo169eunChQsl6jsAqExICACgknn22We1bds2rVmzRps3b9b27dt14MABmzo5OTl68cUXdejQISUkJCglJcX6Ifh6mjRpol69emnJkiU25UuWLNEjjzxSorMKxhgNGDBAv/76q3bs2KEtW7bohx9+0EMPPWSt89577+nll1/WK6+8ogMHDqhRo0ZauHBhiWKcPHmyZs+eraNHj6p169b685//rCVLlmjhwoU6cuSInnrqKT388MPasWOHGjZsqNWrV0uSvv32W6Wlpenvf/97ifaTb8aMGerfv7++/vprjR49WpL0ww8/KCEhQevWrdO6deu0Y8cOxcXFSZLS0tI0dOhQjR49WkePHtX27dv1wAMPlDiZAoBKxQAAKo2srCzj7u5uVqxYYS07c+aM8fLyMn/605+K3G7fvn1GksnKyjLGGLNt2zYjyZw9e9YYY8ySJUuMn5+ftf7KlStN7dq1TXZ2tjHGmIMHDxqLxWJSUlKK3Efjxo3N66+/bowxZvPmzcbV1dWkpqZaXz9y5IiRZPbt22eMMaZdu3YmJibGpo1OnTqZ8PDwIveRH3dCQoK17Pz588bT09Ps3r3bpu6YMWPM0KFDCz3ewmLOFx4ebmbMmGF9LsnExsba1JkxY4apWbOmyczMtJY9++yzpl27dsYYYw4cOGAkmWPHjhV5LABQVXCGAAAqkR9++EE5OTnq0KGDtczf318tWrSwqZeUlKT+/furcePG8vX1Vbdu3ST9No2nJAYMGKAaNWpozZo1kqR3331X3bt3V5MmTUq0/dGjR9WwYUM1bNjQWhYaGqqbbrpJR48elfTbt/V33nmnzXbXPi9K27Ztrf9PTk5Wdna2evfuLR8fH+vjn//8p3744YcStVea/eVr0qSJfH19rc+Dg4Ot07LCw8PVs2dPhYWFadCgQXrrrbd09uxZu8QCABWNhAAAKhFTgiknFy5cUFRUlHx8fLRs2TIlJiZaP9jn5OSUaD/u7u4aMWKElixZopycHC1fvtw6VaakcRY2teja8mvrlOT4JMnb29v6/7y8PEnS+vXrdfDgQesjOTnZuo6gKC4uLgX2Wdii4av3l8/Nzc3mucViscbi6uqqLVu26P/+7/8UGhqqN954Qy1atFBKSkqJjg8AKhMSAgCoRG655Ra5ublp79691rKzZ8/q3//+t/X5N998o9OnTysuLk6dO3dWy5YtbRYUl9TYsWO1detWLViwQJcvX9YDDzxQ4m1DQ0OVmpqq48ePW8uSk5OVkZGhW2+9VZLUokUL7du3z2a7axcyl3RfHh4eSk1N1S233GLzyD9D4e7uLknKzc212bZu3bpKS0uzPs/MzLTbh3aLxaJOnTpp1qxZSkpKkru7uzUxA4CqpIajAwAA/M7Hx0djxozRs88+qzp16igwMFDTpk2Ti8vv3980atRI7u7ueuONN/T444/r8OHDevHFF0u9r1tvvVXt27fXc889p9GjR8vLy6vE2/bq1UutW7fW8OHDNW/ePF25ckUTJkxQ165drdNv/vjHP2rcuHFq27atOnbsqJUrV+qrr75Ss2bNShWnr6+vnnnmGT311FPKy8vTXXfdpczMTO3evVs+Pj4aNWqUGjduLIvFonXr1qlPnz7y8vKSj4+PevTooaVLl+ree+9V7dq1NX36dLm6upZq/4X54osv9MknnygqKkr16tXTF198oV9++cWaDAFAVcIZAgCoZObOnasuXbrovvvuU69evXTXXXcpIiLC+nrdunW1dOlSffDBBwoNDVVcXJz+9re/lWlfY8aMUU5OTqmmC0m/fTuekJCg2rVrq0uXLurVq5eaNWumlStXWusMHz5cU6dO1TPPPKM77rjDeiUkT0/PUsf54osv6oUXXtDs2bN166236u6779bHH3+spk2bSpLq16+vWbNmacqUKQoMDNTEiRMlSVOnTlWXLl3Ur18/9enTRwMGDNDNN99c6v1fq1atWtq5c6f69Omj5s2b689//rNeffVVRUdH33DbAFDRLKakEzoBANXOyy+/rBUrVujrr7+ukP317t1bQUFB+te//lUh+wMAXB9ThgDACZ0/f15Hjx7VG2+8UabpRiVx8eJFLVq0SHfffbdcXV31/vvva+vWrdqyZUu57A8AUDZMGQIAJzRx4kTddddd6tq1a6mnC5WUxWLRhg0b1LlzZ0VEROjjjz/W6tWr1atXr3LZHwCgbJgyBAAAADgxzhAAAAAAToyEAAAAAHBiJAQAAACAEyMhAAAAAJwYCQEAAADgxEgIAAAAACdGQgAAAAA4MRICAAAAwIn9P66HXMonFts8AAAAAElFTkSuQmCC",
      "text/plain": [
       "<Figure size 900x300 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "pyplot.figure(figsize=(9, 3))\n",
    "pyplot.hist(r.numpy(), bins=200)\n",
    "pyplot.yscale('log')\n",
    "pyplot.ylabel(\"count\")\n",
    "pyplot.xlabel(\"daily log returns\")\n",
    "pyplot.title(\"Empirical distribution.  mean={:0.3g}, std={:0.3g}\".format(r.mean(), r.std()));"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Fitting a single distribution to log returns  <a class=\"anchor\" id=\"fitting\"></a>\n",
    "\n",
    "Log returns appear to be heavy-tailed. First let's fit a single distribution to the returns. To fit the distribution, we'll use a likelihood free statistical inference algorithm [EnergyDistance](http://docs.pyro.ai/en/latest/inference_algos.html#pyro.infer.energy_distance.EnergyDistance), which matches fractional moments of observed data and can handle data with heavy tails."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "def model():\n",
    "    stability = pyro.param(\"stability\", torch.tensor(1.9),\n",
    "                           constraint=constraints.interval(0, 2))\n",
    "    skew = 0.\n",
    "    scale = pyro.param(\"scale\", torch.tensor(0.1), constraint=constraints.positive)\n",
    "    loc = pyro.param(\"loc\", torch.tensor(0.))\n",
    "    with pyro.plate(\"data\", len(r)):\n",
    "        return pyro.sample(\"r\", dist.Stable(stability, skew, scale, loc), obs=r)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "step 0 loss = 7.497945785522461\n",
      "step 20 loss = 2.0790653228759766\n",
      "step 40 loss = 1.6773109436035156\n",
      "step 60 loss = 1.4146158695220947\n",
      "step 80 loss = 1.306936502456665\n",
      "step 100 loss = 1.2835698127746582\n",
      "step 120 loss = 1.2812254428863525\n",
      "step 140 loss = 1.2803162336349487\n",
      "step 160 loss = 1.2787212133407593\n",
      "step 180 loss = 1.265405535697937\n",
      "step 200 loss = 1.2878881692886353\n",
      "--------------------\n",
      "loc = 0.0002415\n",
      "scale = 0.008325\n",
      "stability = 1.982\n",
      "CPU times: total: 828 ms\n",
      "Wall time: 2.93 s\n"
     ]
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 900x300 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "%%time\n",
    "pyro.clear_param_store()\n",
    "pyro.set_rng_seed(1234567890)\n",
    "num_steps = 1 if smoke_test else 201\n",
    "optim = ClippedAdam({\"lr\": 0.1, \"lrd\": 0.1 ** (1 / num_steps)})\n",
    "svi = SVI(model, lambda: None, optim, EnergyDistance())\n",
    "losses = []\n",
    "for step in range(num_steps):\n",
    "    loss = svi.step()\n",
    "    losses.append(loss)\n",
    "    if step % 20 == 0:\n",
    "        print(\"step {} loss = {}\".format(step, loss))\n",
    "\n",
    "print(\"-\" * 20)\n",
    "pyplot.figure(figsize=(9, 3))\n",
    "pyplot.plot(losses)\n",
    "pyplot.yscale(\"log\")\n",
    "pyplot.ylabel(\"loss\")\n",
    "pyplot.xlabel(\"SVI step\")\n",
    "for name, value in sorted(pyro.get_param_store().items()):\n",
    "    if value.numel() == 1:\n",
    "        print(\"{} = {:0.4g}\".format(name, value.squeeze().item()))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 900x300 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "samples = poutine.uncondition(model)().detach()\n",
    "pyplot.figure(figsize=(9, 3))\n",
    "pyplot.hist(samples.numpy(), bins=200)\n",
    "pyplot.yscale(\"log\")\n",
    "pyplot.xlabel(\"daily log returns\")\n",
    "pyplot.ylabel(\"count\")\n",
    "pyplot.title(\"Posterior predictive distribution\");\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "This is a poor fit, but that was to be expected since we are mixing all time steps together: we would expect this to be a scale-mixture of distributions (Normal, or Stable), but are modeling it as a single distribution (Stable in this case)."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Modeling stochastic volatility  <a class=\"anchor\" id=\"modeling\"></a>\n",
    "\n",
    "We'll next fit a stochastic volatility model.\n",
    "Let's begin with a constant volatility model where log price $p$ follows Brownian motion\n",
    "\n",
    "$$\n",
    "  \\log p_t = \\log p_{t-1} + w_t \\sqrt h\n",
    "$$\n",
    "\n",
    "where $w_t$ is a sequence of standard white noise. We can rewrite this model in terms of the log returns $r_t=\\log(p_t\\,/\\,p_{t-1})$:\n",
    "\n",
    "$$\n",
    "  r_t = w_t \\sqrt h\n",
    "$$\n",
    "\n",
    "Now to account for [volatility clustering](https://en.wikipedia.org/wiki/Volatility_clustering) we can generalize to a stochastic volatility model where volatility $h$ depends on time $t$. Among the simplest such models is one where $h_t$ follows geometric Brownian motion\n",
    "\n",
    "$$\n",
    "  \\log h_t = \\log h_{t-1} + \\sigma v_t\n",
    "$$\n",
    "\n",
    "where again $v_t$ is a sequence of standard white noise. The entire model thus consists of a geometric Brownian motion $h_t$ that determines the diffusion rate of another geometric Brownian motion $p_t$:\n",
    "\n",
    "$$\n",
    "  \\log h_t = \\log h_{t-1} + \\sigma v_t \\\\\n",
    "  \\log p_t = \\log p_{t-1} + w_t \\sqrt h_t\n",
    "$$\n",
    "\n",
    "Usually $v_1$ and $w_t$ are both Gaussian. We will generalize to a Stable distribution for $w_t$, learning three parameters (stability, skew, and location), but still scaling by $\\sqrt h_t$.\n",
    "\n",
    "Our Pyro model will sample the increments $v_t$ and record the computation of $\\log h_t$ via [pyro.deterministic](http://docs.pyro.ai/en/stable/primitives.html#pyro.deterministic). Note that there are many ways of implementing this model in Pyro, and geometry can vary depending on implementation. The following version seems to have good geometry, when combined with reparameterizers."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [],
   "source": [
    "def model(data):\n",
    "    # Note we avoid plates because we'll later reparameterize along the time axis using\n",
    "    # DiscreteCosineReparam, breaking independence. This requires .unsqueeze()ing scalars.\n",
    "    h_0 = pyro.sample(\"h_0\", dist.Normal(0, 1)).unsqueeze(-1)\n",
    "    sigma = pyro.sample(\"sigma\", dist.LogNormal(0, 1)).unsqueeze(-1)\n",
    "    v = pyro.sample(\"v\", dist.Normal(0, 1).expand(data.shape).to_event(1))\n",
    "    log_h = pyro.deterministic(\"log_h\", h_0 + sigma * v.cumsum(dim=-1))\n",
    "    sqrt_h = log_h.mul(0.5).exp().clamp(min=1e-8, max=1e8)\n",
    "\n",
    "    # Observed log returns, assumed to be a Stable distribution scaled by sqrt(h).\n",
    "    r_loc = pyro.sample(\"r_loc\", dist.Normal(0, 1e-2)).unsqueeze(-1)\n",
    "    r_skew = pyro.sample(\"r_skew\", dist.Uniform(-1, 1)).unsqueeze(-1)\n",
    "    r_stability = pyro.sample(\"r_stability\", dist.Uniform(0, 2)).unsqueeze(-1)\n",
    "    pyro.sample(\"r\", dist.Stable(r_stability, r_skew, sqrt_h, r_loc * sqrt_h).to_event(1),\n",
    "                obs=data)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Fitting a Model with Reparameterization <a class=\"anchor\" id=\"reparam\"></a>\n",
    "\n",
    "We use two reparameterizers: [StableReparam](http://docs.pyro.ai/en/latest/infer.reparam.html#pyro.infer.reparam.stable.StableReparam) to handle the `Stable` likelihood (since `Stable.log_prob()` is very expensive), and [DiscreteCosineReparam](http://docs.pyro.ai/en/latest/infer.reparam.html#pyro.infer.reparam.discrete_cosine.DiscreteCosineReparam) to improve geometry of the latent Gaussian process for `v`. We'll then use `reparam_model` for both inference and prediction."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [],
   "source": [
    "reparam_model = poutine.reparam(model, {\"v\": DiscreteCosineReparam(),\n",
    "                                        \"r\": StableReparam()})"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "step 0 loss = 2244.54\n",
      "step 200 loss = -1.16091\n",
      "step 400 loss = -2.96091\n",
      "step 600 loss = -3.01823\n",
      "step 800 loss = -3.03623\n",
      "step 1000 loss = -3.04261\n",
      "step 1200 loss = -3.07324\n",
      "step 1400 loss = -3.06965\n",
      "step 1600 loss = -3.08399\n",
      "step 1800 loss = -3.08298\n",
      "step 2000 loss = -3.08325\n",
      "step 2200 loss = -3.09142\n",
      "step 2400 loss = -3.09739\n",
      "step 2600 loss = -3.10487\n",
      "step 2800 loss = -3.09952\n",
      "step 3000 loss = -3.10444\n",
      "--------------------\n",
      "h_0 = -0.2587 ± 0.00434\n",
      "r_loc = 0.04707 ± 0.002965\n",
      "r_skew = 0.001134 ± 0.0001323\n",
      "r_stability = 1.946 ± 0.001327\n",
      "sigma = 0.1359 ± 6.603e-05\n",
      "CPU times: total: 19.7 s\n",
      "Wall time: 2min 54s\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "(-3.119090303321589, 20.0)"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAw4AAAErCAYAAAB3vNThAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjguMCwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy81sbWrAAAACXBIWXMAAA9hAAAPYQGoP6dpAAA0PElEQVR4nO3de3hU1aHH/d+ea+4TQiAXCBAFrQpiuYggVbQFxeKlXo6X6sHXS+tR9FA89ZT6WqG2Ynkese3BUt9eBHvsgVoVrVoVqwZRUFQoCFRQUKISAiH3y0xmZr1/BIZMkskMIZeZzPfzPPM4e++1916ZxTbzy9prL8sYYwQAAAAAnbD1dQUAAAAAxD+CAwAAAICoCA4AAAAAoiI4AAAAAIiK4AAAAAAgKoIDAAAAgKgIDgAAAACiIjgAAAAAiIrgAAAAACAqggMAAACAqPo0OCxatEgTJ05UZmamBg8erMsuu0wff/xxWBljjBYsWKDCwkKlpqZq2rRp2rZtWx/VGAAAAEhOfRocSkpKdMcdd2jDhg1as2aN/H6/ZsyYofr6+lCZxYsXa8mSJVq6dKk2btyo/Px8TZ8+XbW1tX1YcwAAACC5WMYY09eVOOLAgQMaPHiwSkpKdM4558gYo8LCQs2dO1f//d//LUnyer3Ky8vTL37xC33/+9/v4xoDAAAAycHR1xVorbq6WpKUk5MjSdqzZ4/Kyso0Y8aMUBm3261zzz1X77zzTofBwev1yuv1hpaDwaAOHTqkgQMHyrKsHv4JAAAAgN5hjFFtba0KCwtls/X8jURxExyMMZo3b56mTp2q0aNHS5LKysokSXl5eWFl8/Ly9Pnnn3d4nEWLFmnhwoU9W1kAAAAgTpSWlmro0KE9fp64CQ5z5szRli1btG7dunbb2vYUGGMi9h7Mnz9f8+bNCy1XV1dr2LBhGvIfy2Vzp7Ur/9HCCzo8zqvbyjTvL/+UJM2bPko3TT0h5p8FAAAA6Gk1NTUqKipSZmZmr5wvLoLDnXfeqeeff15r164NS0v5+fmSWnoeCgoKQuvLy8vb9UIc4Xa75Xa72623udM6DA5ZWVkdHic1vT5UPjU9M2I5AAAAoC/11u34ffpUJWOM5syZo2eeeUavv/66iouLw7YXFxcrPz9fa9asCa3z+XwqKSnRlClTeq+evXYmAAAAID71aY/DHXfcoT//+c967rnnlJmZGRrT4PF4lJqaKsuyNHfuXD344IMaNWqURo0apQcffFBpaWm67rrrerRuhrgAAAAAhPRpcFi2bJkkadq0aWHrH3/8cd14442SpHvuuUeNjY26/fbbVVlZqUmTJunVV1/ttXu5AAAAAPRxcIhlCgnLsrRgwQItWLCg5yvUSvzMbgEAAAD0vT4d45AoCBEAAABIdgSHCMgKAAAAwFEEBwAAAABRERwiaD3+gicsAQAAINkRHAAAAABERXAAAAAAEBXBAQAAAEBUBIcIWj+ClcexAgAAINkRHAAAAABERXCIgCcpAQAAAEcRHAAAAABERXCIgHENAAAAwFEEBwAAAABRERwioMcBAAAAOIrgEANDigAAAECSIzhEQFQAAAAAjiI4AAAAAIiK4BABtycBAAAARxEcYkCGAAAAQLIjOERAVgAAAACOIjgAAAAAiIrgEInp8C0AAACQlAgOAAAAAKIiOERg6GcAAAAAQggOAAAAAKIiOETQ+hGsPI4VAAAAyY7gAAAAACAqgkMEdDIAAAAARxEcAAAAAERFcIggbIwD/Q8AAABIcgQHAAAAAFERHCKglwEAAAA4iuAQAx7HCgAAgGRHcIiAsAAAAAAcRXAAAAAAEBXBIQI6HAAAAICjCA4xIEQAAAAg2REcImGQAwAAABBCcAAAAAAQVZ8Gh7Vr1+riiy9WYWGhLMvS6tWrw7bfeOONsiwr7HXWWWf1St3C+hvofQAAAECS69PgUF9fr7Fjx2rp0qURy1x44YXat29f6PXSSy/1Yg0BAAAASJKjL08+c+ZMzZw5s9Mybrdb+fn5vVSjo+hkAAAAAI6K+zEOb775pgYPHqyTTjpJt956q8rLyzst7/V6VVNTE/YCAAAAcHziOjjMnDlTTz75pF5//XU9/PDD2rhxo84//3x5vd6I+yxatEgejyf0Kioq6tK5TasuBzofAAAAkOz69FalaK6++urQ+9GjR2vChAkaPny4XnzxRV1++eUd7jN//nzNmzcvtFxTU9Pl8AAAAACgRVwHh7YKCgo0fPhw7dq1K2IZt9stt9t93OeilwEAAAA4Kq5vVWqroqJCpaWlKigo6OuqAAAAAEmlT3sc6urq9Mknn4SW9+zZo82bNysnJ0c5OTlasGCBrrjiChUUFOizzz7Tj3/8Y+Xm5uo73/lOj9et9VOVeMISAAAAkl2fBof3339f5513Xmj5yNiE2bNna9myZdq6daueeOIJVVVVqaCgQOedd55WrVqlzMzMvqoyAAAAkJT6NDhMmzYt7OlFbb3yyiu9WJtwdDIAAAAARyXUGIe+YogRAAAASHIEhwg66wkBAAAAkg3BAQAAAEBUBAcAAAAAUREcYsBdSwAAAEh2BIcICAsAAADAUQQHAAAAAFERHCLgEawAAADAUQSHGBAhAAAAkOwIDhEwxgEAAAA4iuAAAAAAICqCQwStOxzofQAAAECyIzgAAAAAiCppgsPL//mNYypPLwMAAABwVNIEh6E5aX1dBQAAACBhJU1wOFat53FgTgcAAAAkO4IDAAAAgKgIDhEwxgEAAAA4iuAQC0IEAAAAkhzBAQAAAEBUSR0cLKuvawAAAAAkhuQODp1sMwxyAAAAAEKSKjicPtQTtmzF2OVAhAAAAECyS6rgcP2k4WHLnfc49GxdAAAAgESSVMEh0CYNMMYBAAAAiE1yBYdgm+DQSZ8DHQ4AAADAUUkdHDq9V6kVBkoDAAAg2SV1cGCMAwAAABCbpAoOQcY4AAAAAF2SVMHBf0xjHI6WpfcBAAAAyS6pgkO7W5XocQAAAABiklTBIcgYBwAAAKBLkio4tLtViS4HAAAAICZJFRzaDY7upKyJ8B4AAABIRkkVHNr2OAAAAACITVIFh7ZjHBjkAAAAAMQmqYLDsUwA1xoZAgAAAMkuqYLDsQyOJisAAAAARyVVcGDmaAAAAKBr+jQ4rF27VhdffLEKCwtlWZZWr14dtt0YowULFqiwsFCpqamaNm2atm3b1uXztb3l6Ehu2PJFlR76+79U7/VHLAsAAAAksz4NDvX19Ro7dqyWLl3a4fbFixdryZIlWrp0qTZu3Kj8/HxNnz5dtbW1XTrfHeeNDFs+cqvSJUvf1m9LPtWSNTs73M9w4xIAAACSXJ8Gh5kzZ+pnP/uZLr/88nbbjDH65S9/qXvvvVeXX365Ro8erRUrVqihoUF//vOfu3S+fE+Klv8/E0PLbe9U+rjsaCAhLAAAAABHxe0Yhz179qisrEwzZswIrXO73Tr33HP1zjvvRNzP6/WqpqYm7NVa6wHRHY1xMNyjBAAAALQTt8GhrKxMkpSXlxe2Pi8vL7StI4sWLZLH4wm9ioqKwrZbnSz9q6xG4x5Yo+Vv72GMAwAAANBK3AaHI9o+MtUY0+ljVOfPn6/q6urQq7S0tJNjhy8frPOpsqFZC/62vc05j73eAAAAQH/i6OsKRJKfny+ppeehoKAgtL68vLxdL0Rrbrdbbrc7pnN0OnF0TEcAAAAAkkPc9jgUFxcrPz9fa9asCa3z+XwqKSnRlClTuuUczOMAAAAAxKZPexzq6ur0ySefhJb37NmjzZs3KycnR8OGDdPcuXP14IMPatSoURo1apQefPBBpaWl6brrruuW81ud9DlwexIAAABwVJ8Gh/fff1/nnXdeaHnevHmSpNmzZ2v58uW655571NjYqNtvv12VlZWaNGmSXn31VWVmZnbL+ctqmrrlOAAAAEB/16VblVasWKEXX3wxtHzPPfcoOztbU6ZM0eeffx7zcaZNmyZjTLvX8uXLJbUMjF6wYIH27dunpqYmlZSUaPTo0V2pckS7D9R1uJ55HAAAAICjuhQcHnzwQaWmpkqS1q9fr6VLl2rx4sXKzc3VD37wg26tYE+rafL3dRUAAACAuNelW5VKS0s1cuRISdLq1at15ZVX6nvf+57OPvtsTZs2rTvr1+MctgjjHFp1ODApHAAAAJJdl3ocMjIyVFFRIUl69dVX9a1vfUuSlJKSosbGxu6rXS+wRwoOAAAAAEK61OMwffp03XLLLfr617+unTt36tvf/rYkadu2bRoxYkR31q/HRQoO9DEAAAAAR3Wpx+HRRx/V5MmTdeDAAT399NMaOHCgJOmDDz7Qtdde260V7Gm2GCZzIEQAAAAg2XWpxyE7O1tLly5tt37hwoXHXaF40VPjGg7UeuULBDUkO7VHjg8AAAD0hC71OLz88stat25daPnRRx/VGWecoeuuu06VlZXdVrne0NsDnyf+/DWd/dDrqmlq7tXzAgAAAMejS8Hhhz/8oWpqaiRJW7du1d13362LLrpIu3fvDk3iliiCEXJDT+eJLw4l1iByAAAAJLcu3aq0Z88enXrqqZKkp59+WrNmzdKDDz6oDz/8UBdddFG3VrCnBWNICDyNFQAAAMmuSz0OLpdLDQ0NkqTXXntNM2bMkCTl5OSEeiISRaTg0J1Zoak5oAYfE80BAAAgcXWpx2Hq1KmaN2+ezj77bL333ntatWqVJGnnzp0aOnRot1awp/V0b4IxRmMXviqvP6iPf3Zhz54MAAAA6CFd6nFYunSpHA6H/vrXv2rZsmUaMmSIJOnvf/+7Lrwwvr8ct336asQeh24KFL5AUF5/UJL0ZSXjGgAAAJCYutTjMGzYML3wwgvt1j/yyCPHXaHeFmlwdGuGmRwAAACQ5LoUHCQpEAho9erV2rFjhyzL0imnnKJLL71Udru9O+vX4yKPcYgeFj76slqF2anKSXfFdC7iBwAAABJVl4LDJ598oosuukhffvmlTj75ZBljtHPnThUVFenFF1/UiSee2N317DFdvSVpc2mVLnv0bdksafeib3dvpQAAAIA406UxDnfddZdOPPFElZaW6sMPP9SmTZu0d+9eFRcX66677uruOnark/Mzw5YjTQDXenVHRd7aeUBSbLc6dXYcAAAAIBF0KTiUlJRo8eLFysnJCa0bOHCgHnroIZWUlHRb5XrC4MwUlfxwmjypTknH9sW/NTIAAAAAkkmXgoPb7VZtbW279XV1dXK5Yrvfvy8NH5iuQZluSbFNAHc8wg9P3AAAAEBi6lJwmDVrlr73ve/p3XfflTFGxhht2LBBt912my655JLurmOPsB1+LGtXg0NXduNWJQAAACSqLgWHX//61zrxxBM1efJkpaSkKCUlRVOmTNHIkSP1y1/+spur2DNshyd0iPRlvvXYh46K8IhWAAAAJJMuPVUpOztbzz33nD755BPt2LFDxhideuqpGjlyZHfXr8dYh4NDT/c4hA2y7tKZAAAAgL4Xc3CYN29ep9vffPPN0PslS5Z0uUK95cgE0pEGR/MlHwAAADgq5uCwadOmmMod+Ut+vLMdvkmryz0OMZdrdcsTaQQAAAAJKubg8MYbb/RkPXrd0TEOXZvHoSspgHERAAAASFRdGhzdH4TGOAR79jz0MgAAAKA/SNrgEO1xrNF6B8gDAAAASCZJGxw27a2SJP3qH7tiKN0+JsT8VKUu7AMAAADEm6QNDkds+6qmw/XRvuTHOl4hbD4IggMAAAASVNIHh64iBAAAACCZEBwiiJYLYn8ca+v3pA0AAAAkpqQPDlkp0Z9IS+8CAAAAkl3SBoe7p58kSfrmKXkdbu+usBB1PggAAAAgASRtcEh12SVJX1Q2dGn/mEMAYQEAAAD9QNIGB/vhiRw2flYZoUTnT0NivAIAAACSSdIGB8eRGeC6KuZ5HHgcKwAAABJf0gYHW5TgEH0eBwAAACB5JG1wsFvH1+NgYuw+CBscTdwAAABAgkra4BCtxyHYesbn4/jCHzaPA7kBAAAACSppg0O0Hgd/sPNv+YQAAAAAJJO4Dg4LFiyQZVlhr/z8/G45tsPeeXAIRAsOMZ7HhPVcAAAAAIkp+rTJfey0007Ta6+9Flq22+3dctwGX6DT7dF6HAAAAIBkEvfBweFwdFsvQ2tNzZ0Hh0AgyjwOMT+OFQAAAEh8cX2rkiTt2rVLhYWFKi4u1jXXXKPdu3d3Wt7r9aqmpibs1WE5f7DT4wSiJINYB0y3PkyQgREAAABIUHEdHCZNmqQnnnhCr7zyin73u9+prKxMU6ZMUUVFRcR9Fi1aJI/HE3oVFRV1WM7bHCU49MDgaHIDAAAAElVcB4eZM2fqiiuu0JgxY/Stb31LL774oiRpxYoVEfeZP3++qqurQ6/S0tIOy3n9sY9xOJ7v++E9EyQHAAAAJKa4H+PQWnp6usaMGaNdu3ZFLON2u+V2u6Meqzg3vdPtgWDnPRJdQY8DAAAAElVc9zi05fV6tWPHDhUUFBz3sS4fN1Q/vODkiNv9gWi3Kh376GhyAwAAABJVXAeH//qv/1JJSYn27Nmjd999V1deeaVqamo0e/bs4z623WbpjvNGRtzebfM4tHof5BGvAAAASFBxfavSF198oWuvvVYHDx7UoEGDdNZZZ2nDhg0aPnx4j587bIzDcTyONWyf46gPAAAA0JfiOjisXLmyx8/x2A3j9f0/fdBufbQeh1i1Dhhh74kRAAAASCBxfatSb3DYrA7XR5s5uitf/AkLAAAASFRJHxxsEYJD66cqHc8XfhNhdDRPWAIAAEAiSfrgYLciBYf23+wDUcY9RENWAAAAQKIiOETocWgbDP60/jONvv8VffB5Zcv2GI8faYwDAAAAkEiSPjjYIvQ4BNt8y7/vuW1qbA7o7r9slhR7CAh7HKs5vh4LAAAAoK8kfXCI1OMQdqdSh8MUujI4GgAAAEhMBIcIn0C0AdEx9ziE9TK0jh3ECAAAACSOpA8OVqRblYIdrj6uW4yICgAAAEhUSR8cIj1VyURJCG03NzUH9Nr2/Wrw+SOXY6A0AAAAEhTBIYYxDuHf/U3Yf49Y8Pw23fLE+/rhU1sinqvtgGsAAAAgUSR9cHDYY3uqUjQrN5ZKkl7cui9iGRMhjAAAAADxLumDg9th73B9B/O/hYl9cHSr9zHWCQAAAIg3SR8cUpwdfwSRnoZ0xME67zGfK9oxAQAAgHiV9MEhUo9DRb0v9D5sjIORymua9MbHB2I6vokw8wOxAQAAAImE4OCI/hEE2ty39N5nh2I+ftitSvQyAAAAIEERHGIIDqbNY1QtdTyg+liPAwAAACSKpA8OjkhTR7fS9glLEaZ+6BC3JwEAAKA/SPrgEIt2waGLxwk/DDECAAAAiYPgIOl755zQ6fa2j2Y9ph6H1k9SIiwAAAAgQREcJI0anNHp9mC7SR1iTw6t9wwyxgEAAAAJiuAg6ZSCrE63H88Yh9bCex8AAACAxEFwkDR6iEcPXzU24vZgm0eqHktuoGcBAAAA/QHB4bBJJ+RE3Na+xyE8OsQ6PwOPYwUAAECiIjgcZuvk/qOwL/w61qcqMTgaAAAAiY/gcFhnwaHtzNFti3bWe9B6WzDYej0hAgAAAImD4HCYv/W3+jZa36pkTPuQEWsEICoAAAAgUREcDuskN7TvUejqzNE8VQkAAAAJiuBw2LCBabpmYlGH29oOjm4r5sHRx1wrAAAAID4QHFp56IrTO1wfaBMMjuVWpbBdeaoSAAAAEhTBIQZh8zjoGOdxaJUWwsZK0P8AAACABEJwiEG0W5Fi7T0gKgAAACBRERxi0PapSm0DQGe9BxEnfSNFAAAAIIEQHNr4/b9PaLeuos4XthxtsLQkLXpphx54YXvYOm5PAgAAQKIiOLTxzVMG65KxhWHr9lU3hRdq8/2/bY6obWrWY2t36w/r9uhQva/DckQIAAAAJBKCQxuWZekH00+KuN0oeo9Dc+Do9tazThMWAAAAkKgIDh0ozk3XjVNG6OS8zA63t80NbZdbz0Jd2+TvsCCPYwUAAEAiIThEsOCS0zT3W6ParQ8GTbseh7bL/lY9Dj/4y+ZW5Y6WYbwDAAAAEgnBoRNef7DduoAxYQFAkvxtVjQHju7na3WMWGeYBgAAAOINwaETXn+g3bqW3oTwABBoExx8HQQOtdmLDAEAAIBEkhDB4Te/+Y2Ki4uVkpKi8ePH66233uqV8zps7T+eOq9fJTsPhK1rPaZB6rinQiIsAAAAIHHFfXBYtWqV5s6dq3vvvVebNm3SN77xDc2cOVN79+7t8XPPGlugb4zKbbf+/94rDVtukxvkC8TQ43C8lQMAAAB6UdwHhyVLlujmm2/WLbfcolNOOUW//OUvVVRUpGXLlvX4ud0Ou/508yQ9cdOZnZZr2+MQ8VYluhwAAACQoOI6OPh8Pn3wwQeaMWNG2PoZM2bonXfe6XAfr9ermpqasNfxGjogtdPtz//zq7DlyMGh9XtCBAAAABJHXAeHgwcPKhAIKC8vL2x9Xl6eysrKOtxn0aJF8ng8oVdRUdFx1yPFae90++KXPw5bjjw4mrAAAACAxBTXweEIy7LClo0x7dYdMX/+fFVXV4depaWlHZY7FgWeFI0Z4om5fMQxDmHzOAAAAACJI66DQ25urux2e7vehfLy8na9EEe43W5lZWWFvY6XZVl64LLRMZeP1OPQ1NxqPckBAAAACSSug4PL5dL48eO1Zs2asPVr1qzRlClTerUuOWmumMtGCg6PvLazu6oDAAAA9Kq4Dg6SNG/ePP3+97/XH//4R+3YsUM/+MEPtHfvXt122229Wo9hA9P0q2vOiKmsN8KtSq0x3gEAAACJxNHXFYjm6quvVkVFhX76059q3759Gj16tF566SUNHz681+ty0ZgC/efKzVHLvbZ9f89XBgAAAOhFcR8cJOn222/X7bff3tfVkNMeWwdN25mlO8LTWAEAAJBI4v5WpXjzf7ee1ddVAAAAAHodweEYTT5xoL51SsdPdDoW9DgAAAAgkRAcumDR5WM06/SCvq4GAAAA0GsIDl0wKNOtpdeN0+afTNc3RuV26RjROhw27a3UpUvX6f3PDnXp+AAAAEB3Ijgch+w0l/5448Qu7Wui3Kt04+Mb9c8vqnXlb9d36fgAAABAdyI4HKdYn7R0rKobm3vkuAAAAEBXEBy6wZJ/G6uT8zKPaR8jqay6SS9u2adAsH3vg8tB0wAAACB+8O20G1w+bqhe+cE5x7zfhb9aqzv+/KH+/O7n7baluezdUTUAAACgWxAcutFfvj855rLGSFUNLbcjrdlR3m673bK6rV4AAADA8SI4dKMzi3P03r3f1O4HLzqm/Xz+QA/VCAAAAOgeBIduNjgzRTabpb/NmRql5NFxDT5/UJIUCBr9+d29+vRAXQ/WEAAAADh2jr6uQH81ZqhHsycP14r17ccvSNJt//th6H1VY7Pe3V2hj/fX6ifPbZMkpToZ4wAAAID4QXDoQQsvHa3RQzz64V+3dFpu94F6Xf3/bQhb19jM7UsAAACIHwSHHnbl+KE664SBKq9t0qvb9+uxkt19XSUAAADgmDHGoYdZlqWinDSNH56j+TNP0eIrTj/mY9y3+iMdqvfFXD4YNNryRZWa6LUAAABANyE49LJ/m1ikbQsv0Jghnpj3+dOGz3Xx/6yLufzKjaW6ZOnbuvP/NnWligAAAEA7BIc+kO526G93TtWTt0yKeZ8vqxo1duGr+rKqsd22P63/TH95vzS0/Pu3Wm6HWrN9//FXFgAAABDBoU+dPTJXnz30bW26b7r+elv0yeOqG5t19kOva92ug2r0tdyGVF7TpPue26Z7/rpFXn9AxhipzdxxdV5/y3oAAACgiyzTz79R1tTUyOPxqLq6WllZWX1dnU5VNzbrlhUbdcFp+Tp9aLZ+9MwW7T5QH/P+3500TH/751eqafKH1v3qmjP0nys3665vjtK86SdFPUYwaGSzMWs1AABAvOvt77kEhzhWWe/Tpwfq9NMXtmvLF9XHfbz/99unaOiAVJ0wKEMn5WWqZOcBeZsDmnFaviSpZOcB3fanDzTn/JG647yRx30+AAAA9ByCQzdL5ODQWm1Tsx5941P9tuTTbj/2tWcWKSvFqcfWHn1U7JO3TNJzm7/U3kMNGjU4UxkpLU/uHTEwTVeMG6p91U0amOFSqtOumia/PKnOdsetaWrWsjc/ld2ydPeMk2RZLT0ZR/7JBY306YE6jRqcEdrWGr0fAAAAkREcull/CQ5tGWN0sM6n/TVNemztbq3/9KAGZaZox74aSZLdZikQ7N2mPSkvQ6lOuw41+FR6qP0g7kjys1JUVtOk4tx0DR2Qqrd2HQxtG5Dm1HlfG6zsVJcGZ7m1ducBfVXVqNOGeDQowx0KIYMy3Xp3zyG9teugUp12NTYHQmFmRG66Bqa79M1TBisnzSWXw6Zd5XV6+5OD+tYpecpOc6qpOaDsNJeMkdwOmz49UKf1n1aovNarkYMzdOHofO05WK99h8/9jx37FTQt7TB+eI7OLM7Rrv21amoOKC8rRSMHZ6jW69cn5XUakOZSZYNP5TVN+vqwAfKkOlXZ4NPO/XUqzk2Ty25XZopDliXVNfn1VXWTnHZL/yqrVV2TXyflZ6rQk6JBmW45bDZt2F2h/bVNsluWzh6Zq9wMt4yM0pwOldU0qaymSSfkpmtQpltVDc0qPdSg04d61NgckNthl9NuqaqxWXlZKXLYLAWNkTGS0dEZy/9VVqN6b0BpLru+qGzUaYVZykxxyOcPqqbJr9wMl/xBo90H6lWUk9ryswxMly8QVLrbrvIar0blZcjtsOtArVeZKQ55/UHlpLu0v6ZJQWOUl5migDEKGiO3w67Kep/S3HbZLUv+oJHTblNtU7Nqm/zKSXcp3X102pnapmYFjZSV4pBlWfL6A7JblgKH/z04bDbZbZaamgNKcdpljFFzwMjrDyjN5VBFvVcpTruyUpxhQdZuazmW2xE+c7sxRl5/UClOu8oOh2an3SZjTIeht+2+bcscOWdH+zY1B+SwtXwGKYfbo/UxgkEjy+p4XwBAciE4dLP+GhyORUWdV3//qEwlOw9odKFHbqdN63YdDH2x9gWCqqjzymG36YPPK5WT7tKBWm8f1xr9nWVJR/7v47Lb5AsEOy3vctgUCJp2gbj1cVoHZqfdUnOg6/97O3IsT6pT1Y3N7bYPyU4NPeUs1WlXutuhQDCo6sZmpTjtyvekqLqhWRX1PrnsNg1Id8qT6tTBOl9oXpbcDLfSXC1BNxg0amoOqN53dP6VI4HL5w//bNwOm9JcdlmWpcwUhyrrfWryByXTso/LYZPPH5QnzSljWj6Lpuag0lx2NTUHVN3YrKxUp+w2KzSOqignVU3NQWWmOFR6qEEZbofsNptGDEyTw95SrrzWq9wMtw7Wtfw393CAag4EVdvkV5rLrjS3Q7WNzdp9sF6jBmcoEDTafbBeBZ4U2SxL/mBQlQ3NOiE3XeW1Xg1Ia6lHvTegOq9f1Y3N+lp+5uGgbKm2ya88T4oOHf7cmgMt4bUwO0XGSPVev1KcdrkctpaX3aaqRp/2VTVpQLpL6S67jCSfP6i8rJSW4NzQrC1fVuuU/ExlpTrVHAjKGKnJH5Tdkhp8AQ3LSZPXH2zZ7g+q3udXZYNP+VmpynDb9emBejntljypzlDdnXZLbqddXn9Q6S673vm0QiMGpmlwVooGpDn16YF6NXj9mjAiR7VNzar3BeQPBGUkeQ9/9lmpTm3/qkZDB6TK5bDJ7bDLbpMqG5rldtiUk97S02tZUqMvoIN1Pn1V1ajcDLcGpDtV5/UrO9Ulm82SzWp5Vsahhmbtq2rU0AGp2l/jVYEnRQPSXfIHgmpqDmr3wToNHZAWCthpLrvcTrtsVsvn5vMHle52KGhaAr0/aOS0WbLZLDX6AvL6A/pXWa1OHJQhT6pTAWPkbQ6otsmvkYMzZLMsfVXVKJfDpnR3yx8gnHabKuq92rW/TuOGD1CG267qxmaluRzKcDtU09Qsf8Bof02TBmW65XbYFQgGZVmWnHZLxrT87mpqDrSEeLWE6sGZbtV6/fIHWq6nspomDUhzyUiyW1JTc1CprpY/ABTlpOqVbft1Qm66zijK1sF6nzIP/4Hi3T2HdN7Jg1r+WFDTpNwMl1KdDjU2t/y85TVe5WWlyOWwKcVpU+mhBqW7HRqY3vKHnEZfQJZlKRg0SnXZVVHvU01jswZnutXYHFBhdqp0uM5GLb+nJSk7zSVfIBj63IPGKDvNKW9zUJ5UpyxLslmWvP6gvqxq1O4DdcpwO3TaEI9y012qbGj5f1Vlg0/GSA67dfj68mtAmkvNAaODdV4Ny0mT3WYp3W1XZUOzqhp8SnM5ZLcsNQeCyk5zyW6TmgNGDpulJn9Ajb6g9hys0xlFA1TV4Atdc82BoA7V+5Sd6lKTPyCXveXfqT9o9NGX1apubNa44QOUm+6SNxDUV1VNykxxyGmzlJni1LavqpXvSVFuhlt2m6WaRr8sq2Xc55eVjRqRmx7699HgC2jogDQ1+FrudLAkuZ12Nfj8slmWSnYe0ImDMjQqL0P+gFF1Y7MqG3xy2mxKddlV2+RXqssmT6pTFXU+bdpbpUu/XqhAwMh/uC2cNktlNU1KcdpV7/XrQK1XxbnpkqQtX1S33ImRl6FTCrJUWe/TqLwMVTY0q7zGK7fTpvysFH1e0aB0t13ZqU5ZlqWKeq++qmrSiYPSZbNZSnHY1eQPyGmzycho5/46fS0/M9TmA9Jd8jYHte2rap0wKENuh00Om01lNU0q8KQozWVXVUOzslIdqq2t0X/NGkdw6C7V1dXKzs5WaWlp0gaHrmj9F9Hg4S9izcGg9lY0aOf+WnnSXKpv8quy0add+2v1jx3luviMQrltNp06xKNGn18NvkBLCKnz6vnNX2lYTpoam1su7vWfVijFadfQAWnKSXfqi8pGFWanKNXp0N8/KpPDZinNZdephVmy2SxlpzjVHAxqzfZySVJuhkvDc9LV5A8ocPgv5rsP1Kk5YJR1+JdvqtOu3Qfr5XJYavQFZbOksUOz5T38JayywadAsOUv3gfrfBozxKPmYFAVtV65nDZ9WdkkSRqU4VKeJ1UffRl5nMnAdKcq6ptDdatp8stha/kl1fp7bobbrobDv1BafwHOTLGrwRc85l6iQRkuHaiLfXJAAADQfwS9Dfpy2Y2qqqqSxxP7HGFd1e+Dw+7du3XiiSf2dTUAAACAHlFaWqqhQ4f2+Hkc0YsktpycHEnS3r17eyWJoWfV1NSoqKiIHqR+gvbsf2jT/oX27F9oz/7lSHtu375dhYWFvXLOfh8cbLaWOe48Hg8XST+SlZVFe/YjtGf/Q5v2L7Rn/0J79i9DhgwJfd/tacwcDQAAACAqggMAAACAqPp9cHC73br//vvldrv7uiroBrRn/0J79j+0af9Ce/YvtGf/0hft2e+fqgQAAADg+PX7HgcAAAAAx4/gAAAAACAqggMAAACAqAgOAAAAAKLq18HhN7/5jYqLi5WSkqLx48frrbfe6usqoQMLFiyQZVlhr/z8/NB2Y4wWLFigwsJCpaamatq0adq2bVvYMbxer+68807l5uYqPT1dl1xyib744ove/lGS0tq1a3XxxRersLBQlmVp9erVYdu7q/0qKyt1ww03yOPxyOPx6IYbblBVVVUP/3TJJ1p73njjje2u17POOiusDO0ZPxYtWqSJEycqMzNTgwcP1mWXXaaPP/44rAzXaOKIpT25RhPLsmXLdPrpp4cm5Zs8ebL+/ve/h7bH2/XZb4PDqlWrNHfuXN17773atGmTvvGNb2jmzJnau3dvX1cNHTjttNO0b9++0Gvr1q2hbYsXL9aSJUu0dOlSbdy4Ufn5+Zo+fbpqa2tDZebOnatnn31WK1eu1Lp161RXV6dZs2YpEAj0xY+TVOrr6zV27FgtXbq0w+3d1X7XXXedNm/erJdfflkvv/yyNm/erBtuuKHHf75kE609JenCCy8Mu15feumlsO20Z/woKSnRHXfcoQ0bNmjNmjXy+/2aMWOG6uvrQ2W4RhNHLO0pcY0mkqFDh+qhhx7S+++/r/fff1/nn3++Lr300lA4iLvr0/RTZ555prntttvC1n3ta18zP/rRj/qoRojk/vvvN2PHju1wWzAYNPn5+eahhx4KrWtqajIej8f89re/NcYYU1VVZZxOp1m5cmWozJdffmlsNpt5+eWXe7TuCCfJPPvss6Hl7mq/7du3G0lmw4YNoTLr1683ksy//vWvHv6pklfb9jTGmNmzZ5tLL7004j60Z3wrLy83kkxJSYkxhms00bVtT2O4RvuDAQMGmN///vdxeX32yx4Hn8+nDz74QDNmzAhbP2PGDL3zzjt9VCt0ZteuXSosLFRxcbGuueYa7d69W5K0Z88elZWVhbWl2+3WueeeG2rLDz74QM3NzWFlCgsLNXr0aNq7j3VX+61fv14ej0eTJk0KlTnrrLPk8Xho4z7w5ptvavDgwTrppJN06623qry8PLSN9oxv1dXVkqScnBxJXKOJrm17HsE1mpgCgYBWrlyp+vp6TZ48OS6vz34ZHA4ePKhAIKC8vLyw9Xl5eSorK+ujWiGSSZMm6YknntArr7yi3/3udyorK9OUKVNUUVERaq/O2rKsrEwul0sDBgyIWAZ9o7var6ysTIMHD253/MGDB9PGvWzmzJl68skn9frrr+vhhx/Wxo0bdf7558vr9UqiPeOZMUbz5s3T1KlTNXr0aElco4mso/aUuEYT0datW5WRkSG3263bbrtNzz77rE499dS4vD4dx1Q6wViWFbZsjGm3Dn1v5syZofdjxozR5MmTdeKJJ2rFihWhAV1daUvaO350R/t1VJ427n1XX3116P3o0aM1YcIEDR8+XC+++KIuv/zyiPvRnn1vzpw52rJli9atW9duG9do4onUnlyjiefkk0/W5s2bVVVVpaefflqzZ89WSUlJaHs8XZ/9sschNzdXdru9XYoqLy9vl9oQf9LT0zVmzBjt2rUr9HSlztoyPz9fPp9PlZWVEcugb3RX++Xn52v//v3tjn/gwAHauI8VFBRo+PDh2rVrlyTaM17deeedev755/XGG29o6NChofVco4kpUnt2hGs0/rlcLo0cOVITJkzQokWLNHbsWP3qV7+Ky+uzXwYHl8ul8ePHa82aNWHr16xZoylTpvRRrRArr9erHTt2qKCgQMXFxcrPzw9rS5/Pp5KSklBbjh8/Xk6nM6zMvn379NFHH9Hefay72m/y5Mmqrq7We++9Fyrz7rvvqrq6mjbuYxUVFSotLVVBQYEk2jPeGGM0Z84cPfPMM3r99ddVXFwctp1rNLFEa8+OcI0mHmOMvF5vfF6fxzSUOoGsXLnSOJ1O84c//MFs377dzJ0716Snp5vPPvusr6uGNu6++27z5ptvmt27d5sNGzaYWbNmmczMzFBbPfTQQ8bj8ZhnnnnGbN261Vx77bWmoKDA1NTUhI5x2223maFDh5rXXnvNfPjhh+b88883Y8eONX6/v69+rKRRW1trNm3aZDZt2mQkmSVLlphNmzaZzz//3BjTfe134YUXmtNPP92sX7/erF+/3owZM8bMmjWr13/e/q6z9qytrTV33323eeedd8yePXvMG2+8YSZPnmyGDBlCe8ap//iP/zAej8e8+eabZt++faFXQ0NDqAzXaOKI1p5co4ln/vz5Zu3atWbPnj1my5Yt5sc//rGx2Wzm1VdfNcbE3/XZb4ODMcY8+uijZvjw4cblcplx48aFPa4M8ePqq682BQUFxul0msLCQnP55Zebbdu2hbYHg0Fz//33m/z8fON2u80555xjtm7dGnaMxsZGM2fOHJOTk2NSU1PNrFmzzN69e3v7R0lKb7zxhpHU7jV79mxjTPe1X0VFhfnud79rMjMzTWZmpvnud79rKisre+mnTB6dtWdDQ4OZMWOGGTRokHE6nWbYsGFm9uzZ7dqK9owfHbWlJPP444+HynCNJo5o7ck1mnhuuumm0HfVQYMGmW9+85uh0GBM/F2fljHGHFsfBQAAAIBk0y/HOAAAAADoXgQHAAAAAFERHAAAAABERXAAAAAAEBXBAQAAAEBUBAcAAAAAUREcAAAAAERFcAAAAAAQFcEBAAAAQFQEBwDo58rLy/X9739fw4YNk9vtVn5+vi644AKtX79ePp9Pubm5+tnPftbhvosWLVJubq58Pp+WL1+u7OzsLtfDsiytXr26y/sDAPoWwQEA+rkrrrhC//znP7VixQrt3LlTzz//vKZNm6ZDhw7J5XLp+uuv1/Lly2WMabfv448/rhtuuEEul6sPag4AiCcEBwDox6qqqrRu3Tr94he/0Hnnnafhw4frzDPP1Pz58/Xtb39bknTzzTfr008/1dq1a8P2feutt7Rr1y7dfPPNMZ3L5/Npzpw5KigoUEpKikaMGKFFixZJkkaMGCFJ+s53viPLskLLkvS3v/1N48ePV0pKik444QQtXLhQfr8/tN2yLC1btkwzZ85UamqqiouL9dRTTx3HpwIA6AqCAwD0YxkZGcrIyNDq1avl9Xo7LDNmzBhNnDhRjz/+eNj6P/7xjzrzzDM1evTomM7161//Ws8//7z+8pe/6OOPP9b//u//hgLCxo0bJbX0YOzbty+0/Morr+j666/XXXfdpe3bt+uxxx7T8uXL9fOf/zzs2Pfdd1+o5+T666/Xtddeqx07dhzLRwEAOE4EBwDoxxwOh5YvX64VK1YoOztbZ599tn784x9ry5YtYeVuuukm/fWvf1VdXZ0kqa6uTk899VTMvQ2StHfvXo0aNUpTp07V8OHDNXXqVF177bWSpEGDBkmSsrOzlZ+fH1r++c9/rh/96EeaPXu2TjjhBE2fPl0PPPCAHnvssbBjX3XVVbrlllt00kkn6YEHHtCECRP0P//zP13+XAAAx47gAAD93BVXXKGvvvpKzz//vC644AK9+eabGjdunJYvXx4qc+211yoYDGrVqlWSpFWrVskYo2uuuSbm89x4443avHmzTj75ZN1111169dVXo+7zwQcf6Kc//WmoZyQjI0O33nqr9u3bp4aGhlC5yZMnh+03efJkehwAoJcRHAAgCaSkpGj69On6yU9+onfeeUc33nij7r///tB2j8ejK6+8MnS70uOPP64rr7xSWVlZMZ9j3Lhx2rNnjx544AE1Njbq3/7t33TllVd2uk8wGNTChQu1efPm0Gvr1q3atWuXUlJSOt3XsqyY6wYAOH4EBwBIQqeeeqrq6+vD1t188816++239cILL+jtt98+ptuUjsjKytLVV1+t3/3ud1q1apWefvppHTp0SJLkdDoVCATCyo8bN04ff/yxRo4c2e5lsx39FbVhw4aw/TZs2KCvfe1rx1w/AEDXOfq6AgCAnlNRUaGrrrpKN910k04//XRlZmbq/fff1+LFi3XppZeGlT333HM1cuRI/fu//7tGjhypc84555jO9cgjj6igoEBnnHGGbDabnnrqKeXn54fmfhgxYoT+8Y9/6Oyzz5bb7daAAQP0k5/8RLNmzVJRUZGuuuoq2Ww2bdmyRVu3bg2bW+Kpp57ShAkTNHXqVD355JN677339Ic//OG4Px8AQOzocQCAfiwjI0OTJk3SI488onPOOUejR4/Wfffdp1tvvVVLly5tV/6mm25SZWWlbrrppi6d6xe/+IUmTJigiRMn6rPPPtNLL70U6jl4+OGHtWbNGhUVFenrX/+6JOmCCy7QCy+8oDVr1mjixIk666yztGTJEg0fPjzs2AsXLtTKlSt1+umna8WKFXryySd16qmnduETAQB0lWU6mvEHAIA4YVmWnn32WV122WV9XRUASGr0OAAAAACIiuAAAAAAICoGRwMA4hp31AJAfKDHAQAAAEBUBAcAAAAAUREcAAAAAERFcAAAAAAQFcEBAAAAQFQEBwAAAABRERwAAAAAREVwAAAAABDV/w8f1ejFG0mfeAAAAABJRU5ErkJggg==",
      "text/plain": [
       "<Figure size 900x300 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "%%time\n",
    "pyro.clear_param_store()\n",
    "pyro.set_rng_seed(1234567890)\n",
    "\n",
    "def fit_model(model):\n",
    "    num_steps = 1 if smoke_test else 3001\n",
    "    optim = ClippedAdam({\"lr\": 0.05, \"betas\": (0.9, 0.99), \"lrd\": 0.1 ** (1 / num_steps)})\n",
    "    guide = AutoDiagonalNormal(model)\n",
    "    svi = SVI(model, guide, optim, Trace_ELBO())\n",
    "    losses = []\n",
    "    stats = []\n",
    "    for step in range(num_steps):\n",
    "        loss = svi.step(r) / len(r)\n",
    "        losses.append(loss)\n",
    "        stats.append(guide.quantiles([0.325, 0.675]).items())\n",
    "        if step % 200 == 0:\n",
    "            median = guide.median()\n",
    "            print(\"step {} loss = {:0.6g}\".format(step, loss))\n",
    "\n",
    "    return guide, losses, stats\n",
    "\n",
    "guide, losses, stats = fit_model(reparam_model)\n",
    "\n",
    "print(\"-\" * 20)\n",
    "for name, (lb, ub) in sorted(stats[-1]):\n",
    "    if lb.numel() == 1:\n",
    "        lb = lb.squeeze().item()\n",
    "        ub = ub.squeeze().item()\n",
    "        print(\"{} = {:0.4g} ± {:0.4g}\".format(name, (lb + ub) / 2, (ub - lb) / 2))\n",
    "\n",
    "pyplot.figure(figsize=(9, 3))\n",
    "pyplot.plot(losses)\n",
    "pyplot.ylabel(\"loss\")\n",
    "pyplot.xlabel(\"SVI step\")\n",
    "pyplot.xlim(0, len(losses))\n",
    "pyplot.ylim(min(losses), 20)\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "It appears the log returns exhibit very little skew, but exhibit a stability parameter slightly but significantly less than 2. This contrasts the usual Normal model corresponding to a Stable distribution with skew=0 and stability=2. We can now visualize the estimated volatility:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 900x500 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, axes = pyplot.subplots(2, figsize=(9, 5), sharex=True)\n",
    "pyplot.subplots_adjust(hspace=0)\n",
    "axes[1].plot(r, \"k\", lw=0.2)\n",
    "axes[1].set_ylabel(\"log returns\")\n",
    "axes[1].set_xlim(0, len(r))\n",
    "\n",
    "# We will pull out median log returns using the autoguide's .median() and poutines.\n",
    "num_samples = 200\n",
    "with torch.no_grad():\n",
    "    pred = Predictive(reparam_model, guide=guide, num_samples=num_samples, parallel=True)(r)\n",
    "log_h = pred[\"log_h\"]\n",
    "axes[0].plot(log_h.median(0).values, lw=1)\n",
    "axes[0].fill_between(torch.arange(len(log_h[0])),\n",
    "                     log_h.kthvalue(int(num_samples * 0.1), dim=0).values,\n",
    "                     log_h.kthvalue(int(num_samples * 0.9), dim=0).values,\n",
    "                     color='red', alpha=0.5)\n",
    "axes[0].set_ylabel(\"log volatility\")\n",
    "\n",
    "stability = pred[\"r_stability\"].median(0).values.item()\n",
    "axes[0].set_title(\"Estimated index of stability = {:0.4g}\".format(stability))\n",
    "axes[1].set_xlabel(\"trading day\");"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Observe that volatility roughly follows areas of large absolute log returns. Note that the uncertainty is underestimated, since we have used an approximate `AutoDiagonalNormal` guide. For more precise uncertainty estimates, one could use [HMC](http://docs.pyro.ai/en/stable/mcmc.html#hmc) or [NUTS](http://docs.pyro.ai/en/stable/mcmc.html#nuts) inference."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Fitting a Model with Numerically Integrated Log-Probability <a class=\"anchor\" id=\"numeric\"></a>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We now create a model without reparameterization of the `Stable` distirbution. This model will use the `Stable.log_prob()` method in order to calculate the log-probability density."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [],
   "source": [
    "from functools import partial\n",
    "model_with_log_prob = poutine.reparam(model, {\"v\": DiscreteCosineReparam()})"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "step 0 loss = 10.872\n",
      "step 200 loss = -3.21741\n",
      "step 400 loss = -3.28172\n",
      "step 600 loss = -3.28264\n",
      "step 800 loss = -3.28722\n",
      "step 1000 loss = -3.29258\n",
      "step 1200 loss = -3.28663\n",
      "step 1400 loss = -3.30035\n",
      "step 1600 loss = -3.29928\n",
      "step 1800 loss = -3.30102\n",
      "step 2000 loss = -3.30336\n",
      "step 2200 loss = -3.30392\n",
      "step 2400 loss = -3.30549\n",
      "step 2600 loss = -3.30622\n",
      "step 2800 loss = -3.30624\n",
      "step 3000 loss = -3.30575\n",
      "--------------------\n",
      "h_0 = -0.2038 ± 0.005494\n",
      "r_loc = 0.04509 ± 0.003355\n",
      "r_skew = -0.09735 ± 0.02454\n",
      "r_stability = 1.918 ± 0.002963\n",
      "sigma = 0.1391 ± 6.794e-05\n",
      "CPU times: total: 1h 20min 43s\n",
      "Wall time: 1h 7s\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "(-3.3079991399111877, 20.0)"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 900x300 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "%%time\n",
    "pyro.clear_param_store()\n",
    "pyro.set_rng_seed(1234567890)\n",
    "\n",
    "guide_with_log_prob, losses_with_log_prob, stats_with_log_prob = fit_model(model_with_log_prob)\n",
    "\n",
    "print(\"-\" * 20)\n",
    "for name, (lb, ub) in sorted(stats_with_log_prob[-1]):\n",
    "    if lb.numel() == 1:\n",
    "        lb = lb.squeeze().item()\n",
    "        ub = ub.squeeze().item()\n",
    "        print(\"{} = {:0.4g} ± {:0.4g}\".format(name, (lb + ub) / 2, (ub - lb) / 2))\n",
    "\n",
    "pyplot.figure(figsize=(9, 3))\n",
    "pyplot.plot(losses_with_log_prob)\n",
    "pyplot.ylabel(\"loss\")\n",
    "pyplot.xlabel(\"SVI step\")\n",
    "pyplot.xlim(0, len(losses_with_log_prob))\n",
    "pyplot.ylim(min(losses_with_log_prob), 20)\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The log returns exhibit a negative skew which was not captured by the model with reparameterization of the `Stable` distribution. The negative skew means that negative log returns have a heavier tail than the tail of positive log returns. Also the stability parameter is slightly lower than the one found using the model with reparameterization of the `Stable` distribution (lower stability means heavier tails).\n",
    "\n",
    "Comparing convergence of the two models (see below graphs) we can see that without `Stable` distribution reparameterization less iterations are required for the stability parameter to converge, but since per iteration running times without `Stable` distribution reparameterization is much higher, the overall running time without `Stable` distribution reparameterization is significantly higher.\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [],
   "source": [
    "stability_with_log_prob = []\n",
    "skew_with_log_prob = []\n",
    "for stat in stats_with_log_prob:\n",
    "    stat = dict(stat)\n",
    "    stability_with_log_prob.append(stat['r_stability'].mean().item())\n",
    "    skew_with_log_prob.append(stat['r_skew'].mean().item())\n",
    "\n",
    "stability = []\n",
    "skew = []\n",
    "for stat in stats:\n",
    "    stat = dict(stat)\n",
    "    stability.append(stat['r_stability'].mean().item())\n",
    "    skew.append(stat['r_skew'].mean().item())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(1.8, 2.0)"
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "def plot_comparison(log_prob_values, reparam_values, xlabel, ylabel):\n",
    "    pyplot.plot(log_prob_values, color='b', label='Log-Prob')\n",
    "    pyplot.plot(reparam_values, color='r', label='Reparam')\n",
    "    pyplot.xlabel(xlabel)\n",
    "    pyplot.ylabel(ylabel)\n",
    "    pyplot.legend(loc='best')\n",
    "    pyplot.grid()\n",
    "\n",
    "pyplot.subplot(2,1,1)\n",
    "plot_comparison(stability_with_log_prob, stability, '', 'Stability')\n",
    "\n",
    "pyplot.subplot(2,1,2)\n",
    "plot_comparison(stability_with_log_prob, stability, 'SVI step', 'Stability (Zoomed)')\n",
    "pyplot.ylim(1.8, 2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_comparison(skew_with_log_prob, skew, 'SVI step', 'Skew')"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.9.18"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
